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Finding the Third Proportional to 81,023 and 126,812

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Solution

The third proportional to 81,023 and 126,812 is: 198,478.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,023 : 126,812 = 126,812 : x
  2. Step 2: Convert to fraction form
    81,023/126,812 = 126,812/x
  3. Step 3: Cross multiply
    81,023x = 126,812 × 126,812
  4. Step 4: Simplify right side
    81,023x = 16,081,283,344
  5. Step 5: Solve for x
    x = 16,081,283,344/81,023
  6. Step 6: Final answer
    x = 198,478.00

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.