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Finding the Third Proportional to 66,843 and 139,198.50

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Solution

The third proportional to 66,843 and 139,198.50 is: 289,876.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,843 : 139,198.50 = 139,198.50 : x
  2. Step 2: Convert to fraction form
    66,843/139,198.50 = 139,198.50/x
  3. Step 3: Cross multiply
    66,843x = 139,198.50 × 139,198.50
  4. Step 4: Simplify right side
    66,843x = 19,376,222,402.25
  5. Step 5: Solve for x
    x = 19,376,222,402.25/66,843
  6. Step 6: Final answer
    x = 289,876.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.