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Finding the Third Proportional to 275,406 and 387,846

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Solution

The third proportional to 275,406 and 387,846 is: 546,191.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,406 : 387,846 = 387,846 : x
  2. Step 2: Convert to fraction form
    275,406/387,846 = 387,846/x
  3. Step 3: Cross multiply
    275,406x = 387,846 × 387,846
  4. Step 4: Simplify right side
    275,406x = 150,424,519,716
  5. Step 5: Solve for x
    x = 150,424,519,716/275,406
  6. Step 6: Final answer
    x = 546,191.88

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.