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Finding the Third Proportional to 225,229 and 489,661

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Solution

The third proportional to 225,229 and 489,661 is: 1,064,551.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,229 : 489,661 = 489,661 : x
  2. Step 2: Convert to fraction form
    225,229/489,661 = 489,661/x
  3. Step 3: Cross multiply
    225,229x = 489,661 × 489,661
  4. Step 4: Simplify right side
    225,229x = 239,767,894,921
  5. Step 5: Solve for x
    x = 239,767,894,921/225,229
  6. Step 6: Final answer
    x = 1,064,551.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.