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Finding the Third Proportional to 87,109.75 and 127,785.50

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Solution

The third proportional to 87,109.75 and 127,785.50 is: 187,454.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,109.75 : 127,785.50 = 127,785.50 : x
  2. Step 2: Convert to fraction form
    87,109.75/127,785.50 = 127,785.50/x
  3. Step 3: Cross multiply
    87,109.75x = 127,785.50 × 127,785.50
  4. Step 4: Simplify right side
    87,109.75x = 16,329,134,010.25
  5. Step 5: Solve for x
    x = 16,329,134,010.25/87,109.75
  6. Step 6: Final answer
    x = 187,454.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.