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Finding the Third Proportional to 31,338 and 68,878

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Solution

The third proportional to 31,338 and 68,878 is: 151,387.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,338 : 68,878 = 68,878 : x
  2. Step 2: Convert to fraction form
    31,338/68,878 = 68,878/x
  3. Step 3: Cross multiply
    31,338x = 68,878 × 68,878
  4. Step 4: Simplify right side
    31,338x = 4,744,178,884
  5. Step 5: Solve for x
    x = 4,744,178,884/31,338
  6. Step 6: Final answer
    x = 151,387.42

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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.