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Finding the Third Proportional to 8,305 and 12,718

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Solution

The third proportional to 8,305 and 12,718 is: 19,475.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305 : 12,718 = 12,718 : x
  2. Step 2: Convert to fraction form
    8,305/12,718 = 12,718/x
  3. Step 3: Cross multiply
    8,305x = 12,718 × 12,718
  4. Step 4: Simplify right side
    8,305x = 161,747,524
  5. Step 5: Solve for x
    x = 161,747,524/8,305
  6. Step 6: Final answer
    x = 19,475.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.