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Finding the Third Proportional to 275,266 and 387,624

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Solution

The third proportional to 275,266 and 387,624 is: 545,844.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,266 : 387,624 = 387,624 : x
  2. Step 2: Convert to fraction form
    275,266/387,624 = 387,624/x
  3. Step 3: Cross multiply
    275,266x = 387,624 × 387,624
  4. Step 4: Simplify right side
    275,266x = 150,252,365,376
  5. Step 5: Solve for x
    x = 150,252,365,376/275,266
  6. Step 6: Final answer
    x = 545,844.26

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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.