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Finding the Third Proportional to 2.67 and 6.93

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Solution

The third proportional to 2.67 and 6.93 is: 18.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.67 : 6.93 = 6.93 : x
  2. Step 2: Convert to fraction form
    2.67/6.93 = 6.93/x
  3. Step 3: Cross multiply
    2.67x = 6.93 × 6.93
  4. Step 4: Simplify right side
    2.67x = 48.06
  5. Step 5: Solve for x
    x = 48.06/2.67
  6. Step 6: Final answer
    x = 18.01

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.