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Finding the Third Proportional to 8.51 and 12.30

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Solution

The third proportional to 8.51 and 12.30 is: 17.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.51 : 12.30 = 12.30 : x
  2. Step 2: Convert to fraction form
    8.51/12.30 = 12.30/x
  3. Step 3: Cross multiply
    8.51x = 12.30 × 12.30
  4. Step 4: Simplify right side
    8.51x = 151.41
  5. Step 5: Solve for x
    x = 151.41/8.51
  6. Step 6: Final answer
    x = 17.80

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.