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Finding the Third Proportional to 2.90 and 7.62

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Solution

The third proportional to 2.90 and 7.62 is: 20.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.90 : 7.62 = 7.62 : x
  2. Step 2: Convert to fraction form
    2.90/7.62 = 7.62/x
  3. Step 3: Cross multiply
    2.90x = 7.62 × 7.62
  4. Step 4: Simplify right side
    2.90x = 58.11
  5. Step 5: Solve for x
    x = 58.11/2.90
  6. Step 6: Final answer
    x = 20.02

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.