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Finding the Third Proportional to 22.13 and 47.15

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Solution

The third proportional to 22.13 and 47.15 is: 100.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.13 : 47.15 = 47.15 : x
  2. Step 2: Convert to fraction form
    22.13/47.15 = 47.15/x
  3. Step 3: Cross multiply
    22.13x = 47.15 × 47.15
  4. Step 4: Simplify right side
    22.13x = 2,222.77
  5. Step 5: Solve for x
    x = 2,222.77/22.13
  6. Step 6: Final answer
    x = 100.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.