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Finding the Third Proportional to 208,839 and 336,262.50

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Solution

The third proportional to 208,839 and 336,262.50 is: 541,433.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,839 : 336,262.50 = 336,262.50 : x
  2. Step 2: Convert to fraction form
    208,839/336,262.50 = 336,262.50/x
  3. Step 3: Cross multiply
    208,839x = 336,262.50 × 336,262.50
  4. Step 4: Simplify right side
    208,839x = 113,072,468,906.25
  5. Step 5: Solve for x
    x = 113,072,468,906.25/208,839
  6. Step 6: Final answer
    x = 541,433.68

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.