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Finding the Third Proportional to 81,057.94 and 129,491.86

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Solution

The third proportional to 81,057.94 and 129,491.86 is: 206,866.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,057.94 : 129,491.86 = 129,491.86 : x
  2. Step 2: Convert to fraction form
    81,057.94/129,491.86 = 129,491.86/x
  3. Step 3: Cross multiply
    81,057.94x = 129,491.86 × 129,491.86
  4. Step 4: Simplify right side
    81,057.94x = 16,768,141,644.39
  5. Step 5: Solve for x
    x = 16,768,141,644.39/81,057.94
  6. Step 6: Final answer
    x = 206,866.13

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.