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Finding the Third Proportional to 8.45 and 12.46

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Solution

The third proportional to 8.45 and 12.46 is: 18.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.45 : 12.46 = 12.46 : x
  2. Step 2: Convert to fraction form
    8.45/12.46 = 12.46/x
  3. Step 3: Cross multiply
    8.45x = 12.46 × 12.46
  4. Step 4: Simplify right side
    8.45x = 155.30
  5. Step 5: Solve for x
    x = 155.30/8.45
  6. Step 6: Final answer
    x = 18.37

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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.