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Finding the Third Proportional to 72.40 and 115.11

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Solution

The third proportional to 72.40 and 115.11 is: 183.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.40 : 115.11 = 115.11 : x
  2. Step 2: Convert to fraction form
    72.40/115.11 = 115.11/x
  3. Step 3: Cross multiply
    72.40x = 115.11 × 115.11
  4. Step 4: Simplify right side
    72.40x = 13,251.04
  5. Step 5: Solve for x
    x = 13,251.04/72.40
  6. Step 6: Final answer
    x = 183.03

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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.