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Finding the Third Proportional to 71,778 and 102,744

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Solution

The third proportional to 71,778 and 102,744 is: 147,069.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,778 : 102,744 = 102,744 : x
  2. Step 2: Convert to fraction form
    71,778/102,744 = 102,744/x
  3. Step 3: Cross multiply
    71,778x = 102,744 × 102,744
  4. Step 4: Simplify right side
    71,778x = 10,556,329,536
  5. Step 5: Solve for x
    x = 10,556,329,536/71,778
  6. Step 6: Final answer
    x = 147,069.15

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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.