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Finding the Third Proportional to 139,212 and 203,796

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Solution

The third proportional to 139,212 and 203,796 is: 298,342.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,212 : 203,796 = 203,796 : x
  2. Step 2: Convert to fraction form
    139,212/203,796 = 203,796/x
  3. Step 3: Cross multiply
    139,212x = 203,796 × 203,796
  4. Step 4: Simplify right side
    139,212x = 41,532,809,616
  5. Step 5: Solve for x
    x = 41,532,809,616/139,212
  6. Step 6: Final answer
    x = 298,342.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.