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Finding the Third Proportional to 84,108.38 and 126,253.69

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Solution

The third proportional to 84,108.38 and 126,253.69 is: 189,517.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,108.38 : 126,253.69 = 126,253.69 : x
  2. Step 2: Convert to fraction form
    84,108.38/126,253.69 = 126,253.69/x
  3. Step 3: Cross multiply
    84,108.38x = 126,253.69 × 126,253.69
  4. Step 4: Simplify right side
    84,108.38x = 15,939,993,607.35
  5. Step 5: Solve for x
    x = 15,939,993,607.35/84,108.38
  6. Step 6: Final answer
    x = 189,517.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.