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Finding the Third Proportional to 381,820 and 561,042

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Solution

The third proportional to 381,820 and 561,042 is: 824,388.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,820 : 561,042 = 561,042 : x
  2. Step 2: Convert to fraction form
    381,820/561,042 = 561,042/x
  3. Step 3: Cross multiply
    381,820x = 561,042 × 561,042
  4. Step 4: Simplify right side
    381,820x = 314,768,125,764
  5. Step 5: Solve for x
    x = 314,768,125,764/381,820
  6. Step 6: Final answer
    x = 824,388.78

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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.