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Finding the Third Proportional to 66,936 and 140,775

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Solution

The third proportional to 66,936 and 140,775 is: 296,067.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,936 : 140,775 = 140,775 : x
  2. Step 2: Convert to fraction form
    66,936/140,775 = 140,775/x
  3. Step 3: Cross multiply
    66,936x = 140,775 × 140,775
  4. Step 4: Simplify right side
    66,936x = 19,817,600,625
  5. Step 5: Solve for x
    x = 19,817,600,625/66,936
  6. Step 6: Final answer
    x = 296,067.90

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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.