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Finding the Third Proportional to 223,493 and 489,500

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Solution

The third proportional to 223,493 and 489,500 is: 1,072,115.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,493 : 489,500 = 489,500 : x
  2. Step 2: Convert to fraction form
    223,493/489,500 = 489,500/x
  3. Step 3: Cross multiply
    223,493x = 489,500 × 489,500
  4. Step 4: Simplify right side
    223,493x = 239,610,250,000
  5. Step 5: Solve for x
    x = 239,610,250,000/223,493
  6. Step 6: Final answer
    x = 1,072,115.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.