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Finding the Third Proportional to 90.24 and 167.66

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Solution

The third proportional to 90.24 and 167.66 is: 311.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.24 : 167.66 = 167.66 : x
  2. Step 2: Convert to fraction form
    90.24/167.66 = 167.66/x
  3. Step 3: Cross multiply
    90.24x = 167.66 × 167.66
  4. Step 4: Simplify right side
    90.24x = 28,108.45
  5. Step 5: Solve for x
    x = 28,108.45/90.24
  6. Step 6: Final answer
    x = 311.50

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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.