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Finding the Third Proportional to 382,104 and 801,387

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Solution

The third proportional to 382,104 and 801,387 is: 1,680,749.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,104 : 801,387 = 801,387 : x
  2. Step 2: Convert to fraction form
    382,104/801,387 = 801,387/x
  3. Step 3: Cross multiply
    382,104x = 801,387 × 801,387
  4. Step 4: Simplify right side
    382,104x = 642,221,123,769
  5. Step 5: Solve for x
    x = 642,221,123,769/382,104
  6. Step 6: Final answer
    x = 1,680,749.54

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.