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Finding the Third Proportional to 29.44 and 40.31

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Solution

The third proportional to 29.44 and 40.31 is: 55.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.44 : 40.31 = 40.31 : x
  2. Step 2: Convert to fraction form
    29.44/40.31 = 40.31/x
  3. Step 3: Cross multiply
    29.44x = 40.31 × 40.31
  4. Step 4: Simplify right side
    29.44x = 1,625.10
  5. Step 5: Solve for x
    x = 1,625.10/29.44
  6. Step 6: Final answer
    x = 55.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.