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Finding the Third Proportional to 8,340 and 12,906

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Solution

The third proportional to 8,340 and 12,906 is: 19,971.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,340 : 12,906 = 12,906 : x
  2. Step 2: Convert to fraction form
    8,340/12,906 = 12,906/x
  3. Step 3: Cross multiply
    8,340x = 12,906 × 12,906
  4. Step 4: Simplify right side
    8,340x = 166,564,836
  5. Step 5: Solve for x
    x = 166,564,836/8,340
  6. Step 6: Final answer
    x = 19,971.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.