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Finding the Third Proportional to 22.10 and 29.70

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Solution

The third proportional to 22.10 and 29.70 is: 39.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.10 : 29.70 = 29.70 : x
  2. Step 2: Convert to fraction form
    22.10/29.70 = 29.70/x
  3. Step 3: Cross multiply
    22.10x = 29.70 × 29.70
  4. Step 4: Simplify right side
    22.10x = 881.81
  5. Step 5: Solve for x
    x = 881.81/22.10
  6. Step 6: Final answer
    x = 39.90

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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.