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Finding the Third Proportional to 15.75 and 36.44

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Solution

The third proportional to 15.75 and 36.44 is: 84.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.75 : 36.44 = 36.44 : x
  2. Step 2: Convert to fraction form
    15.75/36.44 = 36.44/x
  3. Step 3: Cross multiply
    15.75x = 36.44 × 36.44
  4. Step 4: Simplify right side
    15.75x = 1,327.69
  5. Step 5: Solve for x
    x = 1,327.69/15.75
  6. Step 6: Final answer
    x = 84.30

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.