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Finding the Third Proportional to 66,201 and 156,144

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Solution

The third proportional to 66,201 and 156,144 is: 368,286.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,201 : 156,144 = 156,144 : x
  2. Step 2: Convert to fraction form
    66,201/156,144 = 156,144/x
  3. Step 3: Cross multiply
    66,201x = 156,144 × 156,144
  4. Step 4: Simplify right side
    66,201x = 24,380,948,736
  5. Step 5: Solve for x
    x = 24,380,948,736/66,201
  6. Step 6: Final answer
    x = 368,286.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.