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Finding the Third Proportional to 731,272 and 1,602,448

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Solution

The third proportional to 731,272 and 1,602,448 is: 3,511,469.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,272 : 1,602,448 = 1,602,448 : x
  2. Step 2: Convert to fraction form
    731,272/1,602,448 = 1,602,448/x
  3. Step 3: Cross multiply
    731,272x = 1,602,448 × 1,602,448
  4. Step 4: Simplify right side
    731,272x = 2,567,839,592,704
  5. Step 5: Solve for x
    x = 2,567,839,592,704/731,272
  6. Step 6: Final answer
    x = 3,511,469.87

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.