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Finding the Third Proportional to 71,289 and 156,186

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Solution

The third proportional to 71,289 and 156,186 is: 342,185.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,289 : 156,186 = 156,186 : x
  2. Step 2: Convert to fraction form
    71,289/156,186 = 156,186/x
  3. Step 3: Cross multiply
    71,289x = 156,186 × 156,186
  4. Step 4: Simplify right side
    71,289x = 24,394,066,596
  5. Step 5: Solve for x
    x = 24,394,066,596/71,289
  6. Step 6: Final answer
    x = 342,185.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.