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Finding the Third Proportional to 123,272 and 252,370

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Solution

The third proportional to 123,272 and 252,370 is: 516,667.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,272 : 252,370 = 252,370 : x
  2. Step 2: Convert to fraction form
    123,272/252,370 = 252,370/x
  3. Step 3: Cross multiply
    123,272x = 252,370 × 252,370
  4. Step 4: Simplify right side
    123,272x = 63,690,616,900
  5. Step 5: Solve for x
    x = 63,690,616,900/123,272
  6. Step 6: Final answer
    x = 516,667.34

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.