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Finding the Third Proportional to 86,456.25 and 129,684.38

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Solution

The third proportional to 86,456.25 and 129,684.38 is: 194,526.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,456.25 : 129,684.38 = 129,684.38 : x
  2. Step 2: Convert to fraction form
    86,456.25/129,684.38 = 129,684.38/x
  3. Step 3: Cross multiply
    86,456.25x = 129,684.38 × 129,684.38
  4. Step 4: Simplify right side
    86,456.25x = 16,818,037,119.14
  5. Step 5: Solve for x
    x = 16,818,037,119.14/86,456.25
  6. Step 6: Final answer
    x = 194,526.56

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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.