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Finding the Third Proportional to 15.84 and 34.13

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Solution

The third proportional to 15.84 and 34.13 is: 73.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.84 : 34.13 = 34.13 : x
  2. Step 2: Convert to fraction form
    15.84/34.13 = 34.13/x
  3. Step 3: Cross multiply
    15.84x = 34.13 × 34.13
  4. Step 4: Simplify right side
    15.84x = 1,164.52
  5. Step 5: Solve for x
    x = 1,164.52/15.84
  6. Step 6: Final answer
    x = 73.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.