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Finding the Third Proportional to 68,601 and 139,110

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Solution

The third proportional to 68,601 and 139,110 is: 282,089.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,601 : 139,110 = 139,110 : x
  2. Step 2: Convert to fraction form
    68,601/139,110 = 139,110/x
  3. Step 3: Cross multiply
    68,601x = 139,110 × 139,110
  4. Step 4: Simplify right side
    68,601x = 19,351,592,100
  5. Step 5: Solve for x
    x = 19,351,592,100/68,601
  6. Step 6: Final answer
    x = 282,089.07

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.