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Finding the Third Proportional to 225,511 and 489,901

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Solution

The third proportional to 225,511 and 489,901 is: 1,064,262.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,511 : 489,901 = 489,901 : x
  2. Step 2: Convert to fraction form
    225,511/489,901 = 489,901/x
  3. Step 3: Cross multiply
    225,511x = 489,901 × 489,901
  4. Step 4: Simplify right side
    225,511x = 240,002,989,801
  5. Step 5: Solve for x
    x = 240,002,989,801/225,511
  6. Step 6: Final answer
    x = 1,064,262.90

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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.