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Finding the Third Proportional to 132,878 and 205,959

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Solution

The third proportional to 132,878 and 205,959 is: 319,233.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,878 : 205,959 = 205,959 : x
  2. Step 2: Convert to fraction form
    132,878/205,959 = 205,959/x
  3. Step 3: Cross multiply
    132,878x = 205,959 × 205,959
  4. Step 4: Simplify right side
    132,878x = 42,419,109,681
  5. Step 5: Solve for x
    x = 42,419,109,681/132,878
  6. Step 6: Final answer
    x = 319,233.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.