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Finding the Third Proportional to 2.91 and 6.37

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Solution

The third proportional to 2.91 and 6.37 is: 13.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.91 : 6.37 = 6.37 : x
  2. Step 2: Convert to fraction form
    2.91/6.37 = 6.37/x
  3. Step 3: Cross multiply
    2.91x = 6.37 × 6.37
  4. Step 4: Simplify right side
    2.91x = 40.55
  5. Step 5: Solve for x
    x = 40.55/2.91
  6. Step 6: Final answer
    x = 13.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.