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Finding the Third Proportional to 81,882 and 130,203.75

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Solution

The third proportional to 81,882 and 130,203.75 is: 207,042.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,882 : 130,203.75 = 130,203.75 : x
  2. Step 2: Convert to fraction form
    81,882/130,203.75 = 130,203.75/x
  3. Step 3: Cross multiply
    81,882x = 130,203.75 × 130,203.75
  4. Step 4: Simplify right side
    81,882x = 16,953,016,514.06
  5. Step 5: Solve for x
    x = 16,953,016,514.06/81,882
  6. Step 6: Final answer
    x = 207,042.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.