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Finding the Third Proportional to 15.74 and 40.43

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Solution

The third proportional to 15.74 and 40.43 is: 103.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.74 : 40.43 = 40.43 : x
  2. Step 2: Convert to fraction form
    15.74/40.43 = 40.43/x
  3. Step 3: Cross multiply
    15.74x = 40.43 × 40.43
  4. Step 4: Simplify right side
    15.74x = 1,634.20
  5. Step 5: Solve for x
    x = 1,634.20/15.74
  6. Step 6: Final answer
    x = 103.84

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Why These Related Problems?

These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.