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Finding the Third Proportional to 81,564 and 126,055

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Solution

The third proportional to 81,564 and 126,055 is: 194,814.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,564 : 126,055 = 126,055 : x
  2. Step 2: Convert to fraction form
    81,564/126,055 = 126,055/x
  3. Step 3: Cross multiply
    81,564x = 126,055 × 126,055
  4. Step 4: Simplify right side
    81,564x = 15,889,863,025
  5. Step 5: Solve for x
    x = 15,889,863,025/81,564
  6. Step 6: Final answer
    x = 194,814.66

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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.