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Finding the Third Proportional to 12.65 and 18.62

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Solution

The third proportional to 12.65 and 18.62 is: 27.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.65 : 18.62 = 18.62 : x
  2. Step 2: Convert to fraction form
    12.65/18.62 = 18.62/x
  3. Step 3: Cross multiply
    12.65x = 18.62 × 18.62
  4. Step 4: Simplify right side
    12.65x = 346.73
  5. Step 5: Solve for x
    x = 346.73/12.65
  6. Step 6: Final answer
    x = 27.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.