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Finding the Third Proportional to 137,760 and 281,364

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Solution

The third proportional to 137,760 and 281,364 is: 574,663.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,760 : 281,364 = 281,364 : x
  2. Step 2: Convert to fraction form
    137,760/281,364 = 281,364/x
  3. Step 3: Cross multiply
    137,760x = 281,364 × 281,364
  4. Step 4: Simplify right side
    137,760x = 79,165,700,496
  5. Step 5: Solve for x
    x = 79,165,700,496/137,760
  6. Step 6: Final answer
    x = 574,663.91

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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.