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Finding the Third Proportional to 6,885 and 9,579.75

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Solution

The third proportional to 6,885 and 9,579.75 is: 13,329.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,885 : 9,579.75 = 9,579.75 : x
  2. Step 2: Convert to fraction form
    6,885/9,579.75 = 9,579.75/x
  3. Step 3: Cross multiply
    6,885x = 9,579.75 × 9,579.75
  4. Step 4: Simplify right side
    6,885x = 91,771,610.06
  5. Step 5: Solve for x
    x = 91,771,610.06/6,885
  6. Step 6: Final answer
    x = 13,329.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.