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Finding the Third Proportional to 508,495 and 690,599

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Solution

The third proportional to 508,495 and 690,599 is: 937,918.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,495 : 690,599 = 690,599 : x
  2. Step 2: Convert to fraction form
    508,495/690,599 = 690,599/x
  3. Step 3: Cross multiply
    508,495x = 690,599 × 690,599
  4. Step 4: Simplify right side
    508,495x = 476,926,978,801
  5. Step 5: Solve for x
    x = 476,926,978,801/508,495
  6. Step 6: Final answer
    x = 937,918.72

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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.