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Finding the Third Proportional to 139,884 and 221,838

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Solution

The third proportional to 139,884 and 221,838 is: 351,806.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,884 : 221,838 = 221,838 : x
  2. Step 2: Convert to fraction form
    139,884/221,838 = 221,838/x
  3. Step 3: Cross multiply
    139,884x = 221,838 × 221,838
  4. Step 4: Simplify right side
    139,884x = 49,212,098,244
  5. Step 5: Solve for x
    x = 49,212,098,244/139,884
  6. Step 6: Final answer
    x = 351,806.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.