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Finding the Third Proportional to 381,866 and 561,107

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Solution

The third proportional to 381,866 and 561,107 is: 824,480.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,866 : 561,107 = 561,107 : x
  2. Step 2: Convert to fraction form
    381,866/561,107 = 561,107/x
  3. Step 3: Cross multiply
    381,866x = 561,107 × 561,107
  4. Step 4: Simplify right side
    381,866x = 314,841,065,449
  5. Step 5: Solve for x
    x = 314,841,065,449/381,866
  6. Step 6: Final answer
    x = 824,480.49

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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.