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Finding the Third Proportional to 71,775 and 102,741

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Solution

The third proportional to 71,775 and 102,741 is: 147,066.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,775 : 102,741 = 102,741 : x
  2. Step 2: Convert to fraction form
    71,775/102,741 = 102,741/x
  3. Step 3: Cross multiply
    71,775x = 102,741 × 102,741
  4. Step 4: Simplify right side
    71,775x = 10,555,713,081
  5. Step 5: Solve for x
    x = 10,555,713,081/71,775
  6. Step 6: Final answer
    x = 147,066.71

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.