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Finding the Third Proportional to 337,414 and 509,603

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Solution

The third proportional to 337,414 and 509,603 is: 769,663.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,414 : 509,603 = 509,603 : x
  2. Step 2: Convert to fraction form
    337,414/509,603 = 509,603/x
  3. Step 3: Cross multiply
    337,414x = 509,603 × 509,603
  4. Step 4: Simplify right side
    337,414x = 259,695,217,609
  5. Step 5: Solve for x
    x = 259,695,217,609/337,414
  6. Step 6: Final answer
    x = 769,663.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.