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Finding the Third Proportional to 381,472 and 560,520

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Solution

The third proportional to 381,472 and 560,520 is: 823,606.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,472 : 560,520 = 560,520 : x
  2. Step 2: Convert to fraction form
    381,472/560,520 = 560,520/x
  3. Step 3: Cross multiply
    381,472x = 560,520 × 560,520
  4. Step 4: Simplify right side
    381,472x = 314,182,670,400
  5. Step 5: Solve for x
    x = 314,182,670,400/381,472
  6. Step 6: Final answer
    x = 823,606.11

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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.