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Finding the Third Proportional to 221,308 and 332,124

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Solution

The third proportional to 221,308 and 332,124 is: 498,429.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,308 : 332,124 = 332,124 : x
  2. Step 2: Convert to fraction form
    221,308/332,124 = 332,124/x
  3. Step 3: Cross multiply
    221,308x = 332,124 × 332,124
  4. Step 4: Simplify right side
    221,308x = 110,306,351,376
  5. Step 5: Solve for x
    x = 110,306,351,376/221,308
  6. Step 6: Final answer
    x = 498,429.12

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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.