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Finding the Third Proportional to 275,331 and 387,732

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Solution

The third proportional to 275,331 and 387,732 is: 546,019.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,331 : 387,732 = 387,732 : x
  2. Step 2: Convert to fraction form
    275,331/387,732 = 387,732/x
  3. Step 3: Cross multiply
    275,331x = 387,732 × 387,732
  4. Step 4: Simplify right side
    275,331x = 150,336,103,824
  5. Step 5: Solve for x
    x = 150,336,103,824/275,331
  6. Step 6: Final answer
    x = 546,019.53

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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.