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Finding the Third Proportional to 7.81 and 15.36

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Solution

The third proportional to 7.81 and 15.36 is: 30.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.81 : 15.36 = 15.36 : x
  2. Step 2: Convert to fraction form
    7.81/15.36 = 15.36/x
  3. Step 3: Cross multiply
    7.81x = 15.36 × 15.36
  4. Step 4: Simplify right side
    7.81x = 235.99
  5. Step 5: Solve for x
    x = 235.99/7.81
  6. Step 6: Final answer
    x = 30.21

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.