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Finding the Third Proportional to 66,342 and 140,172

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Solution

The third proportional to 66,342 and 140,172 is: 296,165.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,342 : 140,172 = 140,172 : x
  2. Step 2: Convert to fraction form
    66,342/140,172 = 140,172/x
  3. Step 3: Cross multiply
    66,342x = 140,172 × 140,172
  4. Step 4: Simplify right side
    66,342x = 19,648,189,584
  5. Step 5: Solve for x
    x = 19,648,189,584/66,342
  6. Step 6: Final answer
    x = 296,165.17

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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.