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Finding the Third Proportional to 12.80 and 17.58

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Solution

The third proportional to 12.80 and 17.58 is: 24.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.80 : 17.58 = 17.58 : x
  2. Step 2: Convert to fraction form
    12.80/17.58 = 17.58/x
  3. Step 3: Cross multiply
    12.80x = 17.58 × 17.58
  4. Step 4: Simplify right side
    12.80x = 308.99
  5. Step 5: Solve for x
    x = 308.99/12.80
  6. Step 6: Final answer
    x = 24.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.