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Finding the Third Proportional to 2.01 and 2.81

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Solution

The third proportional to 2.01 and 2.81 is: 3.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.01 : 2.81 = 2.81 : x
  2. Step 2: Convert to fraction form
    2.01/2.81 = 2.81/x
  3. Step 3: Cross multiply
    2.01x = 2.81 × 2.81
  4. Step 4: Simplify right side
    2.01x = 7.89
  5. Step 5: Solve for x
    x = 7.89/2.01
  6. Step 6: Final answer
    x = 3.93

Related Problems

Find third proportional to 1.01 and 1.40
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.