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Finding the Third Proportional to 6,966 and 11,409

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Solution

The third proportional to 6,966 and 11,409 is: 18,685.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966 : 11,409 = 11,409 : x
  2. Step 2: Convert to fraction form
    6,966/11,409 = 11,409/x
  3. Step 3: Cross multiply
    6,966x = 11,409 × 11,409
  4. Step 4: Simplify right side
    6,966x = 130,165,281
  5. Step 5: Solve for x
    x = 130,165,281/6,966
  6. Step 6: Final answer
    x = 18,685.80

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.