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Finding the Third Proportional to 67,008 and 138,876

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Solution

The third proportional to 67,008 and 138,876 is: 287,824.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,008 : 138,876 = 138,876 : x
  2. Step 2: Convert to fraction form
    67,008/138,876 = 138,876/x
  3. Step 3: Cross multiply
    67,008x = 138,876 × 138,876
  4. Step 4: Simplify right side
    67,008x = 19,286,543,376
  5. Step 5: Solve for x
    x = 19,286,543,376/67,008
  6. Step 6: Final answer
    x = 287,824.49

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.