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Finding the Third Proportional to 2.00 and 3.20

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Solution

The third proportional to 2.00 and 3.20 is: 5.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.00 : 3.20 = 3.20 : x
  2. Step 2: Convert to fraction form
    2.00/3.20 = 3.20/x
  3. Step 3: Cross multiply
    2.00x = 3.20 × 3.20
  4. Step 4: Simplify right side
    2.00x = 10.26
  5. Step 5: Solve for x
    x = 10.26/2.00
  6. Step 6: Final answer
    x = 5.13

Related Problems

Find third proportional to 1.00 and 1.60
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.