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Finding the Third Proportional to 60,680.39 and 129,144.38

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Solution

The third proportional to 60,680.39 and 129,144.38 is: 274,854.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,680.39 : 129,144.38 = 129,144.38 : x
  2. Step 2: Convert to fraction form
    60,680.39/129,144.38 = 129,144.38/x
  3. Step 3: Cross multiply
    60,680.39x = 129,144.38 × 129,144.38
  4. Step 4: Simplify right side
    60,680.39x = 16,678,269,594.14
  5. Step 5: Solve for x
    x = 16,678,269,594.14/60,680.39
  6. Step 6: Final answer
    x = 274,854.35

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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.