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Finding the Third Proportional to 12,912.75 and 29,635.88

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Solution

The third proportional to 12,912.75 and 29,635.88 is: 68,016.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,912.75 : 29,635.88 = 29,635.88 : x
  2. Step 2: Convert to fraction form
    12,912.75/29,635.88 = 29,635.88/x
  3. Step 3: Cross multiply
    12,912.75x = 29,635.88 × 29,635.88
  4. Step 4: Simplify right side
    12,912.75x = 878,285,087.02
  5. Step 5: Solve for x
    x = 878,285,087.02/12,912.75
  6. Step 6: Final answer
    x = 68,016.89

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.