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Finding the Third Proportional to 2.00 and 2.90

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Solution

The third proportional to 2.00 and 2.90 is: 4.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.00 : 2.90 = 2.90 : x
  2. Step 2: Convert to fraction form
    2.00/2.90 = 2.90/x
  3. Step 3: Cross multiply
    2.00x = 2.90 × 2.90
  4. Step 4: Simplify right side
    2.00x = 8.40
  5. Step 5: Solve for x
    x = 8.40/2.00
  6. Step 6: Final answer
    x = 4.21

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.