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Finding the Third Proportional to 146.27 and 220.34

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Solution

The third proportional to 146.27 and 220.34 is: 331.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.27 : 220.34 = 220.34 : x
  2. Step 2: Convert to fraction form
    146.27/220.34 = 220.34/x
  3. Step 3: Cross multiply
    146.27x = 220.34 × 220.34
  4. Step 4: Simplify right side
    146.27x = 48,547.93
  5. Step 5: Solve for x
    x = 48,547.93/146.27
  6. Step 6: Final answer
    x = 331.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.