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Finding the Third Proportional to 90.38 and 141.56

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Solution

The third proportional to 90.38 and 141.56 is: 221.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.38 : 141.56 = 141.56 : x
  2. Step 2: Convert to fraction form
    90.38/141.56 = 141.56/x
  3. Step 3: Cross multiply
    90.38x = 141.56 × 141.56
  4. Step 4: Simplify right side
    90.38x = 20,039.94
  5. Step 5: Solve for x
    x = 20,039.94/90.38
  6. Step 6: Final answer
    x = 221.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.