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Finding the Third Proportional to 508,496 and 690,601

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Solution

The third proportional to 508,496 and 690,601 is: 937,922.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,496 : 690,601 = 690,601 : x
  2. Step 2: Convert to fraction form
    508,496/690,601 = 690,601/x
  3. Step 3: Cross multiply
    508,496x = 690,601 × 690,601
  4. Step 4: Simplify right side
    508,496x = 476,929,741,201
  5. Step 5: Solve for x
    x = 476,929,741,201/508,496
  6. Step 6: Final answer
    x = 937,922.31

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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.