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Finding the Third Proportional to 268,269 and 387,924

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Solution

The third proportional to 268,269 and 387,924 is: 560,948.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,269 : 387,924 = 387,924 : x
  2. Step 2: Convert to fraction form
    268,269/387,924 = 387,924/x
  3. Step 3: Cross multiply
    268,269x = 387,924 × 387,924
  4. Step 4: Simplify right side
    268,269x = 150,485,029,776
  5. Step 5: Solve for x
    x = 150,485,029,776/268,269
  6. Step 6: Final answer
    x = 560,948.26

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.