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Finding the Third Proportional to 132.89 and 202.18

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Solution

The third proportional to 132.89 and 202.18 is: 307.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.89 : 202.18 = 202.18 : x
  2. Step 2: Convert to fraction form
    132.89/202.18 = 202.18/x
  3. Step 3: Cross multiply
    132.89x = 202.18 × 202.18
  4. Step 4: Simplify right side
    132.89x = 40,878.21
  5. Step 5: Solve for x
    x = 40,878.21/132.89
  6. Step 6: Final answer
    x = 307.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.