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Finding the Third Proportional to 12.30 and 26.46

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Solution

The third proportional to 12.30 and 26.46 is: 56.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.30 : 26.46 = 26.46 : x
  2. Step 2: Convert to fraction form
    12.30/26.46 = 26.46/x
  3. Step 3: Cross multiply
    12.30x = 26.46 × 26.46
  4. Step 4: Simplify right side
    12.30x = 700.10
  5. Step 5: Solve for x
    x = 700.10/12.30
  6. Step 6: Final answer
    x = 56.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.