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Finding the Third Proportional to 111,255.19 and 172,218.66

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Solution

The third proportional to 111,255.19 and 172,218.66 is: 266,587.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,255.19 : 172,218.66 = 172,218.66 : x
  2. Step 2: Convert to fraction form
    111,255.19/172,218.66 = 172,218.66/x
  3. Step 3: Cross multiply
    111,255.19x = 172,218.66 × 172,218.66
  4. Step 4: Simplify right side
    111,255.19x = 29,659,265,560.56
  5. Step 5: Solve for x
    x = 29,659,265,560.56/111,255.19
  6. Step 6: Final answer
    x = 266,587.71

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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.