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Finding the Third Proportional to 45.94 and 67.31

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Solution

The third proportional to 45.94 and 67.31 is: 98.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.94 : 67.31 = 67.31 : x
  2. Step 2: Convert to fraction form
    45.94/67.31 = 67.31/x
  3. Step 3: Cross multiply
    45.94x = 67.31 × 67.31
  4. Step 4: Simplify right side
    45.94x = 4,530.97
  5. Step 5: Solve for x
    x = 4,530.97/45.94
  6. Step 6: Final answer
    x = 98.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.