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Finding the Third Proportional to 508,498 and 690,604

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Solution

The third proportional to 508,498 and 690,604 is: 937,926.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,498 : 690,604 = 690,604 : x
  2. Step 2: Convert to fraction form
    508,498/690,604 = 690,604/x
  3. Step 3: Cross multiply
    508,498x = 690,604 × 690,604
  4. Step 4: Simplify right side
    508,498x = 476,933,884,816
  5. Step 5: Solve for x
    x = 476,933,884,816/508,498
  6. Step 6: Final answer
    x = 937,926.77

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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.