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Finding the Third Proportional to 538,356 and 731,448

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Solution

The third proportional to 538,356 and 731,448 is: 993,796.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,356 : 731,448 = 731,448 : x
  2. Step 2: Convert to fraction form
    538,356/731,448 = 731,448/x
  3. Step 3: Cross multiply
    538,356x = 731,448 × 731,448
  4. Step 4: Simplify right side
    538,356x = 535,016,176,704
  5. Step 5: Solve for x
    x = 535,016,176,704/538,356
  6. Step 6: Final answer
    x = 993,796.26

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.