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Finding the Third Proportional to 68,158 and 139,098

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Solution

The third proportional to 68,158 and 139,098 is: 283,873.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,158 : 139,098 = 139,098 : x
  2. Step 2: Convert to fraction form
    68,158/139,098 = 139,098/x
  3. Step 3: Cross multiply
    68,158x = 139,098 × 139,098
  4. Step 4: Simplify right side
    68,158x = 19,348,253,604
  5. Step 5: Solve for x
    x = 19,348,253,604/68,158
  6. Step 6: Final answer
    x = 283,873.55

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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.