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Finding the Third Proportional to 81,558 and 126,046

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Solution

The third proportional to 81,558 and 126,046 is: 194,801.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,558 : 126,046 = 126,046 : x
  2. Step 2: Convert to fraction form
    81,558/126,046 = 126,046/x
  3. Step 3: Cross multiply
    81,558x = 126,046 × 126,046
  4. Step 4: Simplify right side
    81,558x = 15,887,594,116
  5. Step 5: Solve for x
    x = 15,887,594,116/81,558
  6. Step 6: Final answer
    x = 194,801.17

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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.