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Finding the Third Proportional to 71.09 and 113.17

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Solution

The third proportional to 71.09 and 113.17 is: 180.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.09 : 113.17 = 113.17 : x
  2. Step 2: Convert to fraction form
    71.09/113.17 = 113.17/x
  3. Step 3: Cross multiply
    71.09x = 113.17 × 113.17
  4. Step 4: Simplify right side
    71.09x = 12,806.99
  5. Step 5: Solve for x
    x = 12,806.99/71.09
  6. Step 6: Final answer
    x = 180.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.