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Finding the Third Proportional to 132.10 and 208.12

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Solution

The third proportional to 132.10 and 208.12 is: 327.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.10 : 208.12 = 208.12 : x
  2. Step 2: Convert to fraction form
    132.10/208.12 = 208.12/x
  3. Step 3: Cross multiply
    132.10x = 208.12 × 208.12
  4. Step 4: Simplify right side
    132.10x = 43,312.36
  5. Step 5: Solve for x
    x = 43,312.36/132.10
  6. Step 6: Final answer
    x = 327.88

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.