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Finding the Third Proportional to 8.80 and 12.30

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Solution

The third proportional to 8.80 and 12.30 is: 17.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.80 : 12.30 = 12.30 : x
  2. Step 2: Convert to fraction form
    8.80/12.30 = 12.30/x
  3. Step 3: Cross multiply
    8.80x = 12.30 × 12.30
  4. Step 4: Simplify right side
    8.80x = 151.34
  5. Step 5: Solve for x
    x = 151.34/8.80
  6. Step 6: Final answer
    x = 17.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.