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Finding the Third Proportional to 8,306 and 12,916

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Solution

The third proportional to 8,306 and 12,916 is: 20,084.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306 : 12,916 = 12,916 : x
  2. Step 2: Convert to fraction form
    8,306/12,916 = 12,916/x
  3. Step 3: Cross multiply
    8,306x = 12,916 × 12,916
  4. Step 4: Simplify right side
    8,306x = 166,823,056
  5. Step 5: Solve for x
    x = 166,823,056/8,306
  6. Step 6: Final answer
    x = 20,084.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.