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Finding the Third Proportional to 381,132 and 560,280

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Solution

The third proportional to 381,132 and 560,280 is: 823,635.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,132 : 560,280 = 560,280 : x
  2. Step 2: Convert to fraction form
    381,132/560,280 = 560,280/x
  3. Step 3: Cross multiply
    381,132x = 560,280 × 560,280
  4. Step 4: Simplify right side
    381,132x = 313,913,678,400
  5. Step 5: Solve for x
    x = 313,913,678,400/381,132
  6. Step 6: Final answer
    x = 823,635.06

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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.