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Finding the Third Proportional to 12,840 and 29,832

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Solution

The third proportional to 12,840 and 29,832 is: 69,310.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,840 : 29,832 = 29,832 : x
  2. Step 2: Convert to fraction form
    12,840/29,832 = 29,832/x
  3. Step 3: Cross multiply
    12,840x = 29,832 × 29,832
  4. Step 4: Simplify right side
    12,840x = 889,948,224
  5. Step 5: Solve for x
    x = 889,948,224/12,840
  6. Step 6: Final answer
    x = 69,310.61

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.