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Finding the Third Proportional to 4.56 and 9.81

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Solution

The third proportional to 4.56 and 9.81 is: 21.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.56 : 9.81 = 9.81 : x
  2. Step 2: Convert to fraction form
    4.56/9.81 = 9.81/x
  3. Step 3: Cross multiply
    4.56x = 9.81 × 9.81
  4. Step 4: Simplify right side
    4.56x = 96.29
  5. Step 5: Solve for x
    x = 96.29/4.56
  6. Step 6: Final answer
    x = 21.10

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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.