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Finding the Third Proportional to 105,876 and 232,743

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Solution

The third proportional to 105,876 and 232,743 is: 511,629.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,876 : 232,743 = 232,743 : x
  2. Step 2: Convert to fraction form
    105,876/232,743 = 232,743/x
  3. Step 3: Cross multiply
    105,876x = 232,743 × 232,743
  4. Step 4: Simplify right side
    105,876x = 54,169,304,049
  5. Step 5: Solve for x
    x = 54,169,304,049/105,876
  6. Step 6: Final answer
    x = 511,629.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.