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Finding the Third Proportional to 68,982 and 140,880

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Solution

The third proportional to 68,982 and 140,880 is: 287,715.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,982 : 140,880 = 140,880 : x
  2. Step 2: Convert to fraction form
    68,982/140,880 = 140,880/x
  3. Step 3: Cross multiply
    68,982x = 140,880 × 140,880
  4. Step 4: Simplify right side
    68,982x = 19,847,174,400
  5. Step 5: Solve for x
    x = 19,847,174,400/68,982
  6. Step 6: Final answer
    x = 287,715.26

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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.