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Finding the Third Proportional to 66,139 and 156,098

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Solution

The third proportional to 66,139 and 156,098 is: 368,414.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,139 : 156,098 = 156,098 : x
  2. Step 2: Convert to fraction form
    66,139/156,098 = 156,098/x
  3. Step 3: Cross multiply
    66,139x = 156,098 × 156,098
  4. Step 4: Simplify right side
    66,139x = 24,366,585,604
  5. Step 5: Solve for x
    x = 24,366,585,604/66,139
  6. Step 6: Final answer
    x = 368,414.79

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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.