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Finding the Third Proportional to 381,464 and 560,511

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Solution

The third proportional to 381,464 and 560,511 is: 823,596.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,464 : 560,511 = 560,511 : x
  2. Step 2: Convert to fraction form
    381,464/560,511 = 560,511/x
  3. Step 3: Cross multiply
    381,464x = 560,511 × 560,511
  4. Step 4: Simplify right side
    381,464x = 314,172,581,121
  5. Step 5: Solve for x
    x = 314,172,581,121/381,464
  6. Step 6: Final answer
    x = 823,596.93

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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.