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Finding the Third Proportional to 54.07 and 90.21

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Solution

The third proportional to 54.07 and 90.21 is: 150.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.07 : 90.21 = 90.21 : x
  2. Step 2: Convert to fraction form
    54.07/90.21 = 90.21/x
  3. Step 3: Cross multiply
    54.07x = 90.21 × 90.21
  4. Step 4: Simplify right side
    54.07x = 8,138.01
  5. Step 5: Solve for x
    x = 8,138.01/54.07
  6. Step 6: Final answer
    x = 150.51

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.