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Finding the Third Proportional to 111,121.88 and 172,324.13

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Solution

The third proportional to 111,121.88 and 172,324.13 is: 267,234.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,121.88 : 172,324.13 = 172,324.13 : x
  2. Step 2: Convert to fraction form
    111,121.88/172,324.13 = 172,324.13/x
  3. Step 3: Cross multiply
    111,121.88x = 172,324.13 × 172,324.13
  4. Step 4: Simplify right side
    111,121.88x = 29,695,604,057.02
  5. Step 5: Solve for x
    x = 29,695,604,057.02/111,121.88
  6. Step 6: Final answer
    x = 267,234.55

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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.