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Finding the Third Proportional to 66,879 and 142,494

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Solution

The third proportional to 66,879 and 142,494 is: 303,601.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,879 : 142,494 = 142,494 : x
  2. Step 2: Convert to fraction form
    66,879/142,494 = 142,494/x
  3. Step 3: Cross multiply
    66,879x = 142,494 × 142,494
  4. Step 4: Simplify right side
    66,879x = 20,304,540,036
  5. Step 5: Solve for x
    x = 20,304,540,036/66,879
  6. Step 6: Final answer
    x = 303,601.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.