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Finding the Third Proportional to 81,398.25 and 126,024.75

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Solution

The third proportional to 81,398.25 and 126,024.75 is: 195,117.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,398.25 : 126,024.75 = 126,024.75 : x
  2. Step 2: Convert to fraction form
    81,398.25/126,024.75 = 126,024.75/x
  3. Step 3: Cross multiply
    81,398.25x = 126,024.75 × 126,024.75
  4. Step 4: Simplify right side
    81,398.25x = 15,882,237,612.56
  5. Step 5: Solve for x
    x = 15,882,237,612.56/81,398.25
  6. Step 6: Final answer
    x = 195,117.68

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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.