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Finding the Third Proportional to 132.08 and 291.16

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Solution

The third proportional to 132.08 and 291.16 is: 641.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.08 : 291.16 = 291.16 : x
  2. Step 2: Convert to fraction form
    132.08/291.16 = 291.16/x
  3. Step 3: Cross multiply
    132.08x = 291.16 × 291.16
  4. Step 4: Simplify right side
    132.08x = 84,771.96
  5. Step 5: Solve for x
    x = 84,771.96/132.08
  6. Step 6: Final answer
    x = 641.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.