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Finding the Third Proportional to 275,408 and 387,849

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Solution

The third proportional to 275,408 and 387,849 is: 546,196.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,408 : 387,849 = 387,849 : x
  2. Step 2: Convert to fraction form
    275,408/387,849 = 387,849/x
  3. Step 3: Cross multiply
    275,408x = 387,849 × 387,849
  4. Step 4: Simplify right side
    275,408x = 150,426,846,801
  5. Step 5: Solve for x
    x = 150,426,846,801/275,408
  6. Step 6: Final answer
    x = 546,196.36

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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.