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Finding the Third Proportional to 81,644 and 126,159

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Solution

The third proportional to 81,644 and 126,159 is: 194,945.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,644 : 126,159 = 126,159 : x
  2. Step 2: Convert to fraction form
    81,644/126,159 = 126,159/x
  3. Step 3: Cross multiply
    81,644x = 126,159 × 126,159
  4. Step 4: Simplify right side
    81,644x = 15,916,093,281
  5. Step 5: Solve for x
    x = 15,916,093,281/81,644
  6. Step 6: Final answer
    x = 194,945.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.