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Finding the Third Proportional to 150.94 and 220.97

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Solution

The third proportional to 150.94 and 220.97 is: 323.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.94 : 220.97 = 220.97 : x
  2. Step 2: Convert to fraction form
    150.94/220.97 = 220.97/x
  3. Step 3: Cross multiply
    150.94x = 220.97 × 220.97
  4. Step 4: Simplify right side
    150.94x = 48,827.19
  5. Step 5: Solve for x
    x = 48,827.19/150.94
  6. Step 6: Final answer
    x = 323.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.