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Finding the Third Proportional to 86,169.38 and 129,345.19

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Solution

The third proportional to 86,169.38 and 129,345.19 is: 194,154.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,169.38 : 129,345.19 = 129,345.19 : x
  2. Step 2: Convert to fraction form
    86,169.38/129,345.19 = 129,345.19/x
  3. Step 3: Cross multiply
    86,169.38x = 129,345.19 × 129,345.19
  4. Step 4: Simplify right side
    86,169.38x = 16,730,177,529.41
  5. Step 5: Solve for x
    x = 16,730,177,529.41/86,169.38
  6. Step 6: Final answer
    x = 194,154.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.