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Finding the Third Proportional to 68,342 and 140,086

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Solution

The third proportional to 68,342 and 140,086 is: 287,145.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,342 : 140,086 = 140,086 : x
  2. Step 2: Convert to fraction form
    68,342/140,086 = 140,086/x
  3. Step 3: Cross multiply
    68,342x = 140,086 × 140,086
  4. Step 4: Simplify right side
    68,342x = 19,624,087,396
  5. Step 5: Solve for x
    x = 19,624,087,396/68,342
  6. Step 6: Final answer
    x = 287,145.35

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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.