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Finding the Third Proportional to 489,200 and 999,136

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Solution

The third proportional to 489,200 and 999,136 is: 2,040,622.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,200 : 999,136 = 999,136 : x
  2. Step 2: Convert to fraction form
    489,200/999,136 = 999,136/x
  3. Step 3: Cross multiply
    489,200x = 999,136 × 999,136
  4. Step 4: Simplify right side
    489,200x = 998,272,746,496
  5. Step 5: Solve for x
    x = 998,272,746,496/489,200
  6. Step 6: Final answer
    x = 2,040,622.95

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.