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Finding the Third Proportional to 68,267 and 139,936

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Solution

The third proportional to 68,267 and 139,936 is: 286,845.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,267 : 139,936 = 139,936 : x
  2. Step 2: Convert to fraction form
    68,267/139,936 = 139,936/x
  3. Step 3: Cross multiply
    68,267x = 139,936 × 139,936
  4. Step 4: Simplify right side
    68,267x = 19,582,084,096
  5. Step 5: Solve for x
    x = 19,582,084,096/68,267
  6. Step 6: Final answer
    x = 286,845.53

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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.