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Finding the Third Proportional to 68,162 and 139,723

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Solution

The third proportional to 68,162 and 139,723 is: 286,413.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,162 : 139,723 = 139,723 : x
  2. Step 2: Convert to fraction form
    68,162/139,723 = 139,723/x
  3. Step 3: Cross multiply
    68,162x = 139,723 × 139,723
  4. Step 4: Simplify right side
    68,162x = 19,522,516,729
  5. Step 5: Solve for x
    x = 19,522,516,729/68,162
  6. Step 6: Final answer
    x = 286,413.50

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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.