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Finding the Third Proportional to 4.87 and 12.66

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Solution

The third proportional to 4.87 and 12.66 is: 32.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.87 : 12.66 = 12.66 : x
  2. Step 2: Convert to fraction form
    4.87/12.66 = 12.66/x
  3. Step 3: Cross multiply
    4.87x = 12.66 × 12.66
  4. Step 4: Simplify right side
    4.87x = 160.35
  5. Step 5: Solve for x
    x = 160.35/4.87
  6. Step 6: Final answer
    x = 32.89

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.