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Finding the Third Proportional to 81,602.44 and 127,666.13

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Solution

The third proportional to 81,602.44 and 127,666.13 is: 199,732.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,602.44 : 127,666.13 = 127,666.13 : x
  2. Step 2: Convert to fraction form
    81,602.44/127,666.13 = 127,666.13/x
  3. Step 3: Cross multiply
    81,602.44x = 127,666.13 × 127,666.13
  4. Step 4: Simplify right side
    81,602.44x = 16,298,639,472.52
  5. Step 5: Solve for x
    x = 16,298,639,472.52/81,602.44
  6. Step 6: Final answer
    x = 199,732.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.