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Finding the Third Proportional to 221,257 and 332,102

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Solution

The third proportional to 221,257 and 332,102 is: 498,477.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,257 : 332,102 = 332,102 : x
  2. Step 2: Convert to fraction form
    221,257/332,102 = 332,102/x
  3. Step 3: Cross multiply
    221,257x = 332,102 × 332,102
  4. Step 4: Simplify right side
    221,257x = 110,291,738,404
  5. Step 5: Solve for x
    x = 110,291,738,404/221,257
  6. Step 6: Final answer
    x = 498,477.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.