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Finding the Third Proportional to 381,376 and 561,048

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Solution

The third proportional to 381,376 and 561,048 is: 825,366.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,376 : 561,048 = 561,048 : x
  2. Step 2: Convert to fraction form
    381,376/561,048 = 561,048/x
  3. Step 3: Cross multiply
    381,376x = 561,048 × 561,048
  4. Step 4: Simplify right side
    381,376x = 314,774,858,304
  5. Step 5: Solve for x
    x = 314,774,858,304/381,376
  6. Step 6: Final answer
    x = 825,366.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.