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Finding the Third Proportional to 489,280 and 999,296

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Solution

The third proportional to 489,280 and 999,296 is: 2,040,942.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,280 : 999,296 = 999,296 : x
  2. Step 2: Convert to fraction form
    489,280/999,296 = 999,296/x
  3. Step 3: Cross multiply
    489,280x = 999,296 × 999,296
  4. Step 4: Simplify right side
    489,280x = 998,592,495,616
  5. Step 5: Solve for x
    x = 998,592,495,616/489,280
  6. Step 6: Final answer
    x = 2,040,942.80

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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.