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Finding the Third Proportional to 6,782 and 9,991

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Solution

The third proportional to 6,782 and 9,991 is: 14,718.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782 : 9,991 = 9,991 : x
  2. Step 2: Convert to fraction form
    6,782/9,991 = 9,991/x
  3. Step 3: Cross multiply
    6,782x = 9,991 × 9,991
  4. Step 4: Simplify right side
    6,782x = 99,820,081
  5. Step 5: Solve for x
    x = 99,820,081/6,782
  6. Step 6: Final answer
    x = 14,718.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.