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Finding the Third Proportional to 223,586 and 332,340

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Solution

The third proportional to 223,586 and 332,340 is: 493,992.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,586 : 332,340 = 332,340 : x
  2. Step 2: Convert to fraction form
    223,586/332,340 = 332,340/x
  3. Step 3: Cross multiply
    223,586x = 332,340 × 332,340
  4. Step 4: Simplify right side
    223,586x = 110,449,875,600
  5. Step 5: Solve for x
    x = 110,449,875,600/223,586
  6. Step 6: Final answer
    x = 493,992.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.