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Finding the Third Proportional to 491,231 and 781,134

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Solution

The third proportional to 491,231 and 781,134 is: 1,242,125.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,231 : 781,134 = 781,134 : x
  2. Step 2: Convert to fraction form
    491,231/781,134 = 781,134/x
  3. Step 3: Cross multiply
    491,231x = 781,134 × 781,134
  4. Step 4: Simplify right side
    491,231x = 610,170,325,956
  5. Step 5: Solve for x
    x = 610,170,325,956/491,231
  6. Step 6: Final answer
    x = 1,242,125.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.