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Finding the Third Proportional to 51.94 and 91.22

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Solution

The third proportional to 51.94 and 91.22 is: 160.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.94 : 91.22 = 91.22 : x
  2. Step 2: Convert to fraction form
    51.94/91.22 = 91.22/x
  3. Step 3: Cross multiply
    51.94x = 91.22 × 91.22
  4. Step 4: Simplify right side
    51.94x = 8,320.86
  5. Step 5: Solve for x
    x = 8,320.86/51.94
  6. Step 6: Final answer
    x = 160.21

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.