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Finding the Third Proportional to 81,217.69 and 125,518.78

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Solution

The third proportional to 81,217.69 and 125,518.78 is: 193,984.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,217.69 : 125,518.78 = 125,518.78 : x
  2. Step 2: Convert to fraction form
    81,217.69/125,518.78 = 125,518.78/x
  3. Step 3: Cross multiply
    81,217.69x = 125,518.78 × 125,518.78
  4. Step 4: Simplify right side
    81,217.69x = 15,754,964,446.49
  5. Step 5: Solve for x
    x = 15,754,964,446.49/81,217.69
  6. Step 6: Final answer
    x = 193,984.40

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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.