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Finding the Third Proportional to 388,497 and 602,921

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Solution

The third proportional to 388,497 and 602,921 is: 935,692.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,497 : 602,921 = 602,921 : x
  2. Step 2: Convert to fraction form
    388,497/602,921 = 602,921/x
  3. Step 3: Cross multiply
    388,497x = 602,921 × 602,921
  4. Step 4: Simplify right side
    388,497x = 363,513,732,241
  5. Step 5: Solve for x
    x = 363,513,732,241/388,497
  6. Step 6: Final answer
    x = 935,692.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.