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Finding the Third Proportional to 202.13 and 221.38

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Solution

The third proportional to 202.13 and 221.38 is: 242.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.13 : 221.38 = 221.38 : x
  2. Step 2: Convert to fraction form
    202.13/221.38 = 221.38/x
  3. Step 3: Cross multiply
    202.13x = 221.38 × 221.38
  4. Step 4: Simplify right side
    202.13x = 49,006.89
  5. Step 5: Solve for x
    x = 49,006.89/202.13
  6. Step 6: Final answer
    x = 242.46

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.