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Finding the Third Proportional to 202.75 and 306.13

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Solution

The third proportional to 202.75 and 306.13 is: 462.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.75 : 306.13 = 306.13 : x
  2. Step 2: Convert to fraction form
    202.75/306.13 = 306.13/x
  3. Step 3: Cross multiply
    202.75x = 306.13 × 306.13
  4. Step 4: Simplify right side
    202.75x = 93,712.52
  5. Step 5: Solve for x
    x = 93,712.52/202.75
  6. Step 6: Final answer
    x = 462.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.