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Finding the Third Proportional to 138,661.03 and 219,377.11

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Solution

The third proportional to 138,661.03 and 219,377.11 is: 347,078.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,661.03 : 219,377.11 = 219,377.11 : x
  2. Step 2: Convert to fraction form
    138,661.03/219,377.11 = 219,377.11/x
  3. Step 3: Cross multiply
    138,661.03x = 219,377.11 × 219,377.11
  4. Step 4: Simplify right side
    138,661.03x = 48,126,316,117.73
  5. Step 5: Solve for x
    x = 48,126,316,117.73/138,661.03
  6. Step 6: Final answer
    x = 347,078.88

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.