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Finding the Third Proportional to 521,572 and 744,448

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Solution

The third proportional to 521,572 and 744,448 is: 1,062,562.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,572 : 744,448 = 744,448 : x
  2. Step 2: Convert to fraction form
    521,572/744,448 = 744,448/x
  3. Step 3: Cross multiply
    521,572x = 744,448 × 744,448
  4. Step 4: Simplify right side
    521,572x = 554,202,824,704
  5. Step 5: Solve for x
    x = 554,202,824,704/521,572
  6. Step 6: Final answer
    x = 1,062,562.45

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.