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Finding the Third Proportional to 68,340 and 140,082

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Solution

The third proportional to 68,340 and 140,082 is: 287,137.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,340 : 140,082 = 140,082 : x
  2. Step 2: Convert to fraction form
    68,340/140,082 = 140,082/x
  3. Step 3: Cross multiply
    68,340x = 140,082 × 140,082
  4. Step 4: Simplify right side
    68,340x = 19,622,966,724
  5. Step 5: Solve for x
    x = 19,622,966,724/68,340
  6. Step 6: Final answer
    x = 287,137.35

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.