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Finding the Third Proportional to 0.81 and 2.07

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Solution

The third proportional to 0.81 and 2.07 is: 5.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.81 : 2.07 = 2.07 : x
  2. Step 2: Convert to fraction form
    0.81/2.07 = 2.07/x
  3. Step 3: Cross multiply
    0.81x = 2.07 × 2.07
  4. Step 4: Simplify right side
    0.81x = 4.30
  5. Step 5: Solve for x
    x = 4.30/0.81
  6. Step 6: Final answer
    x = 5.33

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Why These Related Problems?

These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.