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Finding the Third Proportional to 6,858 and 9,723

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Solution

The third proportional to 6,858 and 9,723 is: 13,784.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858 : 9,723 = 9,723 : x
  2. Step 2: Convert to fraction form
    6,858/9,723 = 9,723/x
  3. Step 3: Cross multiply
    6,858x = 9,723 × 9,723
  4. Step 4: Simplify right side
    6,858x = 94,536,729
  5. Step 5: Solve for x
    x = 94,536,729/6,858
  6. Step 6: Final answer
    x = 13,784.88

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.