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Finding the Third Proportional to 5.28 and 9.81

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Solution

The third proportional to 5.28 and 9.81 is: 18.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.28 : 9.81 = 9.81 : x
  2. Step 2: Convert to fraction form
    5.28/9.81 = 9.81/x
  3. Step 3: Cross multiply
    5.28x = 9.81 × 9.81
  4. Step 4: Simplify right side
    5.28x = 96.29
  5. Step 5: Solve for x
    x = 96.29/5.28
  6. Step 6: Final answer
    x = 18.23

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.