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Finding the Third Proportional to 67,948 and 138,920

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Solution

The third proportional to 67,948 and 138,920 is: 284,022.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,948 : 138,920 = 138,920 : x
  2. Step 2: Convert to fraction form
    67,948/138,920 = 138,920/x
  3. Step 3: Cross multiply
    67,948x = 138,920 × 138,920
  4. Step 4: Simplify right side
    67,948x = 19,298,766,400
  5. Step 5: Solve for x
    x = 19,298,766,400/67,948
  6. Step 6: Final answer
    x = 284,022.58

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.