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Finding the Third Proportional to 90.13 and 212.66

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Solution

The third proportional to 90.13 and 212.66 is: 501.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.13 : 212.66 = 212.66 : x
  2. Step 2: Convert to fraction form
    90.13/212.66 = 212.66/x
  3. Step 3: Cross multiply
    90.13x = 212.66 × 212.66
  4. Step 4: Simplify right side
    90.13x = 45,222.68
  5. Step 5: Solve for x
    x = 45,222.68/90.13
  6. Step 6: Final answer
    x = 501.78

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.