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Finding the Third Proportional to 1.11 and 6.49

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Solution

The third proportional to 1.11 and 6.49 is: 37.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.11 : 6.49 = 6.49 : x
  2. Step 2: Convert to fraction form
    1.11/6.49 = 6.49/x
  3. Step 3: Cross multiply
    1.11x = 6.49 × 6.49
  4. Step 4: Simplify right side
    1.11x = 42.07
  5. Step 5: Solve for x
    x = 42.07/1.11
  6. Step 6: Final answer
    x = 37.99

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Why These Related Problems?

These problems maintain the same ratio (5.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.