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Finding the Third Proportional to 137,764 and 281,372

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Solution

The third proportional to 137,764 and 281,372 is: 574,679.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,764 : 281,372 = 281,372 : x
  2. Step 2: Convert to fraction form
    137,764/281,372 = 281,372/x
  3. Step 3: Cross multiply
    137,764x = 281,372 × 281,372
  4. Step 4: Simplify right side
    137,764x = 79,170,202,384
  5. Step 5: Solve for x
    x = 79,170,202,384/137,764
  6. Step 6: Final answer
    x = 574,679.90

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.