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Finding the Third Proportional to 139,890 and 221,847

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Solution

The third proportional to 139,890 and 221,847 is: 351,819.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,890 : 221,847 = 221,847 : x
  2. Step 2: Convert to fraction form
    139,890/221,847 = 221,847/x
  3. Step 3: Cross multiply
    139,890x = 221,847 × 221,847
  4. Step 4: Simplify right side
    139,890x = 49,216,091,409
  5. Step 5: Solve for x
    x = 49,216,091,409/139,890
  6. Step 6: Final answer
    x = 351,819.94

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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.