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Finding the Third Proportional to 132.31 and 304.94

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Solution

The third proportional to 132.31 and 304.94 is: 702.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.31 : 304.94 = 304.94 : x
  2. Step 2: Convert to fraction form
    132.31/304.94 = 304.94/x
  3. Step 3: Cross multiply
    132.31x = 304.94 × 304.94
  4. Step 4: Simplify right side
    132.31x = 92,986.88
  5. Step 5: Solve for x
    x = 92,986.88/132.31
  6. Step 6: Final answer
    x = 702.78

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.