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Finding the Third Proportional to 479,444.06 and 1,033,610.63

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Solution

The third proportional to 479,444.06 and 1,033,610.63 is: 2,228,311.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,444.06 : 1,033,610.63 = 1,033,610.63 : x
  2. Step 2: Convert to fraction form
    479,444.06/1,033,610.63 = 1,033,610.63/x
  3. Step 3: Cross multiply
    479,444.06x = 1,033,610.63 × 1,033,610.63
  4. Step 4: Simplify right side
    479,444.06x = 1,068,350,924,112.89
  5. Step 5: Solve for x
    x = 1,068,350,924,112.89/479,444.06
  6. Step 6: Final answer
    x = 2,228,311.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.