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Finding the Third Proportional to 8,356 and 12,206

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Solution

The third proportional to 8,356 and 12,206 is: 17,829.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356 : 12,206 = 12,206 : x
  2. Step 2: Convert to fraction form
    8,356/12,206 = 12,206/x
  3. Step 3: Cross multiply
    8,356x = 12,206 × 12,206
  4. Step 4: Simplify right side
    8,356x = 148,986,436
  5. Step 5: Solve for x
    x = 148,986,436/8,356
  6. Step 6: Final answer
    x = 17,829.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.