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Finding the Third Proportional to 12.23 and 26.05

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Solution

The third proportional to 12.23 and 26.05 is: 55.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.23 : 26.05 = 26.05 : x
  2. Step 2: Convert to fraction form
    12.23/26.05 = 26.05/x
  3. Step 3: Cross multiply
    12.23x = 26.05 × 26.05
  4. Step 4: Simplify right side
    12.23x = 678.64
  5. Step 5: Solve for x
    x = 678.64/12.23
  6. Step 6: Final answer
    x = 55.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.