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Finding the Third Proportional to 81,177.75 and 127,375.88

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Solution

The third proportional to 81,177.75 and 127,375.88 is: 199,865.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,177.75 : 127,375.88 = 127,375.88 : x
  2. Step 2: Convert to fraction form
    81,177.75/127,375.88 = 127,375.88/x
  3. Step 3: Cross multiply
    81,177.75x = 127,375.88 × 127,375.88
  4. Step 4: Simplify right side
    81,177.75x = 16,224,613,532.02
  5. Step 5: Solve for x
    x = 16,224,613,532.02/81,177.75
  6. Step 6: Final answer
    x = 199,865.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.