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Finding the Third Proportional to 6,840 and 9,087

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Solution

The third proportional to 6,840 and 9,087 is: 12,072.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840 : 9,087 = 9,087 : x
  2. Step 2: Convert to fraction form
    6,840/9,087 = 9,087/x
  3. Step 3: Cross multiply
    6,840x = 9,087 × 9,087
  4. Step 4: Simplify right side
    6,840x = 82,573,569
  5. Step 5: Solve for x
    x = 82,573,569/6,840
  6. Step 6: Final answer
    x = 12,072.16

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.