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Finding the Third Proportional to 6,858 and 11,043

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Solution

The third proportional to 6,858 and 11,043 is: 17,781.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858 : 11,043 = 11,043 : x
  2. Step 2: Convert to fraction form
    6,858/11,043 = 11,043/x
  3. Step 3: Cross multiply
    6,858x = 11,043 × 11,043
  4. Step 4: Simplify right side
    6,858x = 121,947,849
  5. Step 5: Solve for x
    x = 121,947,849/6,858
  6. Step 6: Final answer
    x = 17,781.84

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.