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Finding the Third Proportional to 12,659 and 29,305

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Solution

The third proportional to 12,659 and 29,305 is: 67,839.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,659 : 29,305 = 29,305 : x
  2. Step 2: Convert to fraction form
    12,659/29,305 = 29,305/x
  3. Step 3: Cross multiply
    12,659x = 29,305 × 29,305
  4. Step 4: Simplify right side
    12,659x = 858,783,025
  5. Step 5: Solve for x
    x = 858,783,025/12,659
  6. Step 6: Final answer
    x = 67,839.72

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.