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Finding the Third Proportional to 12.54 and 29.65

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Solution

The third proportional to 12.54 and 29.65 is: 70.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.54 : 29.65 = 29.65 : x
  2. Step 2: Convert to fraction form
    12.54/29.65 = 29.65/x
  3. Step 3: Cross multiply
    12.54x = 29.65 × 29.65
  4. Step 4: Simplify right side
    12.54x = 879.07
  5. Step 5: Solve for x
    x = 879.07/12.54
  6. Step 6: Final answer
    x = 70.08

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.