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Finding the Third Proportional to 71.09 and 156.17

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Solution

The third proportional to 71.09 and 156.17 is: 343.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.09 : 156.17 = 156.17 : x
  2. Step 2: Convert to fraction form
    71.09/156.17 = 156.17/x
  3. Step 3: Cross multiply
    71.09x = 156.17 × 156.17
  4. Step 4: Simplify right side
    71.09x = 24,389.96
  5. Step 5: Solve for x
    x = 24,389.96/71.09
  6. Step 6: Final answer
    x = 343.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.