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Finding the Third Proportional to 202.75 and 233.13

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Solution

The third proportional to 202.75 and 233.13 is: 268.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.75 : 233.13 = 233.13 : x
  2. Step 2: Convert to fraction form
    202.75/233.13 = 233.13/x
  3. Step 3: Cross multiply
    202.75x = 233.13 × 233.13
  4. Step 4: Simplify right side
    202.75x = 54,347.27
  5. Step 5: Solve for x
    x = 54,347.27/202.75
  6. Step 6: Final answer
    x = 268.05

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.