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Finding the Third Proportional to 86,196.66 and 129,412.69

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Solution

The third proportional to 86,196.66 and 129,412.69 is: 194,295.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,196.66 : 129,412.69 = 129,412.69 : x
  2. Step 2: Convert to fraction form
    86,196.66/129,412.69 = 129,412.69/x
  3. Step 3: Cross multiply
    86,196.66x = 129,412.69 × 129,412.69
  4. Step 4: Simplify right side
    86,196.66x = 16,747,643,685.97
  5. Step 5: Solve for x
    x = 16,747,643,685.97/86,196.66
  6. Step 6: Final answer
    x = 194,295.75

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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.