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Finding the Third Proportional to 6.51 and 11.93

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Solution

The third proportional to 6.51 and 11.93 is: 21.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.51 : 11.93 = 11.93 : x
  2. Step 2: Convert to fraction form
    6.51/11.93 = 11.93/x
  3. Step 3: Cross multiply
    6.51x = 11.93 × 11.93
  4. Step 4: Simplify right side
    6.51x = 142.37
  5. Step 5: Solve for x
    x = 142.37/6.51
  6. Step 6: Final answer
    x = 21.87

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.