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Finding the Third Proportional to 149,719.50 and 220,201.88

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Solution

The third proportional to 149,719.50 and 220,201.88 is: 323,864.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,719.50 : 220,201.88 = 220,201.88 : x
  2. Step 2: Convert to fraction form
    149,719.50/220,201.88 = 220,201.88/x
  3. Step 3: Cross multiply
    149,719.50x = 220,201.88 × 220,201.88
  4. Step 4: Simplify right side
    149,719.50x = 48,488,865,753.52
  5. Step 5: Solve for x
    x = 48,488,865,753.52/149,719.50
  6. Step 6: Final answer
    x = 323,864.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.