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Finding the Third Proportional to 12.23 and 25.45

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Solution

The third proportional to 12.23 and 25.45 is: 52.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.23 : 25.45 = 25.45 : x
  2. Step 2: Convert to fraction form
    12.23/25.45 = 25.45/x
  3. Step 3: Cross multiply
    12.23x = 25.45 × 25.45
  4. Step 4: Simplify right side
    12.23x = 647.86
  5. Step 5: Solve for x
    x = 647.86/12.23
  6. Step 6: Final answer
    x = 52.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.