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Finding the Third Proportional to 399,055 and 602,725

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Solution

The third proportional to 399,055 and 602,725 is: 910,344.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,055 : 602,725 = 602,725 : x
  2. Step 2: Convert to fraction form
    399,055/602,725 = 602,725/x
  3. Step 3: Cross multiply
    399,055x = 602,725 × 602,725
  4. Step 4: Simplify right side
    399,055x = 363,277,425,625
  5. Step 5: Solve for x
    x = 363,277,425,625/399,055
  6. Step 6: Final answer
    x = 910,344.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.