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Finding the Third Proportional to 22.19 and 29.72

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Solution

The third proportional to 22.19 and 29.72 is: 39.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.19 : 29.72 = 29.72 : x
  2. Step 2: Convert to fraction form
    22.19/29.72 = 29.72/x
  3. Step 3: Cross multiply
    22.19x = 29.72 × 29.72
  4. Step 4: Simplify right side
    22.19x = 883.20
  5. Step 5: Solve for x
    x = 883.20/22.19
  6. Step 6: Final answer
    x = 39.81

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.