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Finding the Third Proportional to 60,930 and 129,620

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Solution

The third proportional to 60,930 and 129,620 is: 275,748.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,930 : 129,620 = 129,620 : x
  2. Step 2: Convert to fraction form
    60,930/129,620 = 129,620/x
  3. Step 3: Cross multiply
    60,930x = 129,620 × 129,620
  4. Step 4: Simplify right side
    60,930x = 16,801,344,400
  5. Step 5: Solve for x
    x = 16,801,344,400/60,930
  6. Step 6: Final answer
    x = 275,748.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.