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Finding the Third Proportional to 8,258 and 11,651

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Solution

The third proportional to 8,258 and 11,651 is: 16,438.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,258 : 11,651 = 11,651 : x
  2. Step 2: Convert to fraction form
    8,258/11,651 = 11,651/x
  3. Step 3: Cross multiply
    8,258x = 11,651 × 11,651
  4. Step 4: Simplify right side
    8,258x = 135,745,801
  5. Step 5: Solve for x
    x = 135,745,801/8,258
  6. Step 6: Final answer
    x = 16,438.10

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.