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Finding the Third Proportional to 491,134,034,238 and 1,068,750,687,573.80

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Solution

The third proportional to 491,134,034,238 and 1,068,750,687,573.80 is: 2,325,695,131,190.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,134,034,238 : 1,068,750,687,573.80 = 1,068,750,687,573.80 : x
  2. Step 2: Convert to fraction form
    491,134,034,238/1,068,750,687,573.80 = 1,068,750,687,573.80/x
  3. Step 3: Cross multiply
    491,134,034,238x = 1,068,750,687,573.80 × 1,068,750,687,573.80
  4. Step 4: Simplify right side
    491,134,034,238x = 1,142,228,032,189,470,408,179,712
  5. Step 5: Solve for x
    x = 1,142,228,032,189,470,408,179,712/491,134,034,238
  6. Step 6: Final answer
    x = 2,325,695,131,190.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.