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Finding the Third Proportional to 66,338 and 140,165

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Solution

The third proportional to 66,338 and 140,165 is: 296,153.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,338 : 140,165 = 140,165 : x
  2. Step 2: Convert to fraction form
    66,338/140,165 = 140,165/x
  3. Step 3: Cross multiply
    66,338x = 140,165 × 140,165
  4. Step 4: Simplify right side
    66,338x = 19,646,227,225
  5. Step 5: Solve for x
    x = 19,646,227,225/66,338
  6. Step 6: Final answer
    x = 296,153.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.