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Finding the Third Proportional to 0.81 and 2.23

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Solution

The third proportional to 0.81 and 2.23 is: 6.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.81 : 2.23 = 2.23 : x
  2. Step 2: Convert to fraction form
    0.81/2.23 = 2.23/x
  3. Step 3: Cross multiply
    0.81x = 2.23 × 2.23
  4. Step 4: Simplify right side
    0.81x = 4.98
  5. Step 5: Solve for x
    x = 4.98/0.81
  6. Step 6: Final answer
    x = 6.14

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Why These Related Problems?

These problems maintain the same ratio (2.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.