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Finding the Third Proportional to 129,019.50 and 195,468.19

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Solution

The third proportional to 129,019.50 and 195,468.19 is: 296,139.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,019.50 : 195,468.19 = 195,468.19 : x
  2. Step 2: Convert to fraction form
    129,019.50/195,468.19 = 195,468.19/x
  3. Step 3: Cross multiply
    129,019.50x = 195,468.19 × 195,468.19
  4. Step 4: Simplify right side
    129,019.50x = 38,207,812,324.54
  5. Step 5: Solve for x
    x = 38,207,812,324.54/129,019.50
  6. Step 6: Final answer
    x = 296,139.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.