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Finding the Third Proportional to 15.69 and 36.40

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Solution

The third proportional to 15.69 and 36.40 is: 84.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.69 : 36.40 = 36.40 : x
  2. Step 2: Convert to fraction form
    15.69/36.40 = 36.40/x
  3. Step 3: Cross multiply
    15.69x = 36.40 × 36.40
  4. Step 4: Simplify right side
    15.69x = 1,324.85
  5. Step 5: Solve for x
    x = 1,324.85/15.69
  6. Step 6: Final answer
    x = 84.45

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.