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Finding the Third Proportional to 66,990 and 140,874

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Solution

The third proportional to 66,990 and 140,874 is: 296,245.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,990 : 140,874 = 140,874 : x
  2. Step 2: Convert to fraction form
    66,990/140,874 = 140,874/x
  3. Step 3: Cross multiply
    66,990x = 140,874 × 140,874
  4. Step 4: Simplify right side
    66,990x = 19,845,483,876
  5. Step 5: Solve for x
    x = 19,845,483,876/66,990
  6. Step 6: Final answer
    x = 296,245.47

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.