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Finding the Third Proportional to 132.42 and 277.65

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Solution

The third proportional to 132.42 and 277.65 is: 582.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.42 : 277.65 = 277.65 : x
  2. Step 2: Convert to fraction form
    132.42/277.65 = 277.65/x
  3. Step 3: Cross multiply
    132.42x = 277.65 × 277.65
  4. Step 4: Simplify right side
    132.42x = 77,087.57
  5. Step 5: Solve for x
    x = 77,087.57/132.42
  6. Step 6: Final answer
    x = 582.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.