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Finding the Third Proportional to 149.72 and 219.23

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Solution

The third proportional to 149.72 and 219.23 is: 321.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.72 : 219.23 = 219.23 : x
  2. Step 2: Convert to fraction form
    149.72/219.23 = 219.23/x
  3. Step 3: Cross multiply
    149.72x = 219.23 × 219.23
  4. Step 4: Simplify right side
    149.72x = 48,063.71
  5. Step 5: Solve for x
    x = 48,063.71/149.72
  6. Step 6: Final answer
    x = 321.03

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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.