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Finding the Third Proportional to 15.87 and 34.74

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Solution

The third proportional to 15.87 and 34.74 is: 76.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.87 : 34.74 = 34.74 : x
  2. Step 2: Convert to fraction form
    15.87/34.74 = 34.74/x
  3. Step 3: Cross multiply
    15.87x = 34.74 × 34.74
  4. Step 4: Simplify right side
    15.87x = 1,206.81
  5. Step 5: Solve for x
    x = 1,206.81/15.87
  6. Step 6: Final answer
    x = 76.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.