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Finding the Third Proportional to 139,921 and 221,916

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Solution

The third proportional to 139,921 and 221,916 is: 351,960.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,921 : 221,916 = 221,916 : x
  2. Step 2: Convert to fraction form
    139,921/221,916 = 221,916/x
  3. Step 3: Cross multiply
    139,921x = 221,916 × 221,916
  4. Step 4: Simplify right side
    139,921x = 49,246,711,056
  5. Step 5: Solve for x
    x = 49,246,711,056/139,921
  6. Step 6: Final answer
    x = 351,960.83

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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.