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Finding the Third Proportional to 90.56 and 122.48

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Solution

The third proportional to 90.56 and 122.48 is: 165.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.56 : 122.48 = 122.48 : x
  2. Step 2: Convert to fraction form
    90.56/122.48 = 122.48/x
  3. Step 3: Cross multiply
    90.56x = 122.48 × 122.48
  4. Step 4: Simplify right side
    90.56x = 15,002.42
  5. Step 5: Solve for x
    x = 15,002.42/90.56
  6. Step 6: Final answer
    x = 165.66

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.