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Finding the Third Proportional to 15.07 and 40.52

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Solution

The third proportional to 15.07 and 40.52 is: 108.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.07 : 40.52 = 40.52 : x
  2. Step 2: Convert to fraction form
    15.07/40.52 = 40.52/x
  3. Step 3: Cross multiply
    15.07x = 40.52 × 40.52
  4. Step 4: Simplify right side
    15.07x = 1,642.15
  5. Step 5: Solve for x
    x = 1,642.15/15.07
  6. Step 6: Final answer
    x = 108.97

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.