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Finding the Third Proportional to 66,339 and 140,166

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Solution

The third proportional to 66,339 and 140,166 is: 296,153.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,339 : 140,166 = 140,166 : x
  2. Step 2: Convert to fraction form
    66,339/140,166 = 140,166/x
  3. Step 3: Cross multiply
    66,339x = 140,166 × 140,166
  4. Step 4: Simplify right side
    66,339x = 19,646,507,556
  5. Step 5: Solve for x
    x = 19,646,507,556/66,339
  6. Step 6: Final answer
    x = 296,153.21

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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.