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Finding the Third Proportional to 102.52 and 202.18

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Solution

The third proportional to 102.52 and 202.18 is: 398.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.52 : 202.18 = 202.18 : x
  2. Step 2: Convert to fraction form
    102.52/202.18 = 202.18/x
  3. Step 3: Cross multiply
    102.52x = 202.18 × 202.18
  4. Step 4: Simplify right side
    102.52x = 40,878.21
  5. Step 5: Solve for x
    x = 40,878.21/102.52
  6. Step 6: Final answer
    x = 398.75

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.