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Finding the Third Proportional to 1.99 and 2.99

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Solution

The third proportional to 1.99 and 2.99 is: 4.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.99 : 2.99 = 2.99 : x
  2. Step 2: Convert to fraction form
    1.99/2.99 = 2.99/x
  3. Step 3: Cross multiply
    1.99x = 2.99 × 2.99
  4. Step 4: Simplify right side
    1.99x = 8.93
  5. Step 5: Solve for x
    x = 8.93/1.99
  6. Step 6: Final answer
    x = 4.48

Related Problems

Find third proportional to 1.00 and 1.49
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.