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Finding the Third Proportional to 508,514 and 690,627

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Solution

The third proportional to 508,514 and 690,627 is: 937,959.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,514 : 690,627 = 690,627 : x
  2. Step 2: Convert to fraction form
    508,514/690,627 = 690,627/x
  3. Step 3: Cross multiply
    508,514x = 690,627 × 690,627
  4. Step 4: Simplify right side
    508,514x = 476,965,653,129
  5. Step 5: Solve for x
    x = 476,965,653,129/508,514
  6. Step 6: Final answer
    x = 937,959.73

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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.