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Finding the Third Proportional to 172,757.81 and 266,517.84

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Solution

The third proportional to 172,757.81 and 266,517.84 is: 411,163.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,757.81 : 266,517.84 = 266,517.84 : x
  2. Step 2: Convert to fraction form
    172,757.81/266,517.84 = 266,517.84/x
  3. Step 3: Cross multiply
    172,757.81x = 266,517.84 × 266,517.84
  4. Step 4: Simplify right side
    172,757.81x = 71,031,761,037.15
  5. Step 5: Solve for x
    x = 71,031,761,037.15/172,757.81
  6. Step 6: Final answer
    x = 411,163.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.