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Finding the Third Proportional to 8,289 and 12,805

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Solution

The third proportional to 8,289 and 12,805 is: 19,781.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289 : 12,805 = 12,805 : x
  2. Step 2: Convert to fraction form
    8,289/12,805 = 12,805/x
  3. Step 3: Cross multiply
    8,289x = 12,805 × 12,805
  4. Step 4: Simplify right side
    8,289x = 163,968,025
  5. Step 5: Solve for x
    x = 163,968,025/8,289
  6. Step 6: Final answer
    x = 19,781.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.