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Finding the Third Proportional to 17.07 and 31.67

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Solution

The third proportional to 17.07 and 31.67 is: 58.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.07 : 31.67 = 31.67 : x
  2. Step 2: Convert to fraction form
    17.07/31.67 = 31.67/x
  3. Step 3: Cross multiply
    17.07x = 31.67 × 31.67
  4. Step 4: Simplify right side
    17.07x = 1,003.05
  5. Step 5: Solve for x
    x = 1,003.05/17.07
  6. Step 6: Final answer
    x = 58.77

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.