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Finding the Third Proportional to 5.09 and 12.56

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Solution

The third proportional to 5.09 and 12.56 is: 30.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.09 : 12.56 = 12.56 : x
  2. Step 2: Convert to fraction form
    5.09/12.56 = 12.56/x
  3. Step 3: Cross multiply
    5.09x = 12.56 × 12.56
  4. Step 4: Simplify right side
    5.09x = 157.82
  5. Step 5: Solve for x
    x = 157.82/5.09
  6. Step 6: Final answer
    x = 30.98

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.