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Finding the Third Proportional to 68,880 and 140,682

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Solution

The third proportional to 68,880 and 140,682 is: 287,331.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,880 : 140,682 = 140,682 : x
  2. Step 2: Convert to fraction form
    68,880/140,682 = 140,682/x
  3. Step 3: Cross multiply
    68,880x = 140,682 × 140,682
  4. Step 4: Simplify right side
    68,880x = 19,791,425,124
  5. Step 5: Solve for x
    x = 19,791,425,124/68,880
  6. Step 6: Final answer
    x = 287,331.96

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.