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Finding the Third Proportional to 132.80 and 205.10

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Solution

The third proportional to 132.80 and 205.10 is: 316.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.80 : 205.10 = 205.10 : x
  2. Step 2: Convert to fraction form
    132.80/205.10 = 205.10/x
  3. Step 3: Cross multiply
    132.80x = 205.10 × 205.10
  4. Step 4: Simplify right side
    132.80x = 42,066.65
  5. Step 5: Solve for x
    x = 42,066.65/132.80
  6. Step 6: Final answer
    x = 316.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.