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Finding the Third Proportional to 70,138.88 and 149,439.38

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Solution

The third proportional to 70,138.88 and 149,439.38 is: 318,398.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,138.88 : 149,439.38 = 149,439.38 : x
  2. Step 2: Convert to fraction form
    70,138.88/149,439.38 = 149,439.38/x
  3. Step 3: Cross multiply
    70,138.88x = 149,439.38 × 149,439.38
  4. Step 4: Simplify right side
    70,138.88x = 22,332,126,800.39
  5. Step 5: Solve for x
    x = 22,332,126,800.39/70,138.88
  6. Step 6: Final answer
    x = 318,398.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.