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Finding the Third Proportional to 15.84 and 34.36

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Solution

The third proportional to 15.84 and 34.36 is: 74.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.84 : 34.36 = 34.36 : x
  2. Step 2: Convert to fraction form
    15.84/34.36 = 34.36/x
  3. Step 3: Cross multiply
    15.84x = 34.36 × 34.36
  4. Step 4: Simplify right side
    15.84x = 1,180.57
  5. Step 5: Solve for x
    x = 1,180.57/15.84
  6. Step 6: Final answer
    x = 74.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.