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Finding the Third Proportional to 66,879 and 138,942

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Solution

The third proportional to 66,879 and 138,942 is: 288,653.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,879 : 138,942 = 138,942 : x
  2. Step 2: Convert to fraction form
    66,879/138,942 = 138,942/x
  3. Step 3: Cross multiply
    66,879x = 138,942 × 138,942
  4. Step 4: Simplify right side
    66,879x = 19,304,879,364
  5. Step 5: Solve for x
    x = 19,304,879,364/66,879
  6. Step 6: Final answer
    x = 288,653.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.