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Finding the Third Proportional to 6,840 and 10,878

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Solution

The third proportional to 6,840 and 10,878 is: 17,299.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840 : 10,878 = 10,878 : x
  2. Step 2: Convert to fraction form
    6,840/10,878 = 10,878/x
  3. Step 3: Cross multiply
    6,840x = 10,878 × 10,878
  4. Step 4: Simplify right side
    6,840x = 118,330,884
  5. Step 5: Solve for x
    x = 118,330,884/6,840
  6. Step 6: Final answer
    x = 17,299.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.