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Finding the Third Proportional to 489,202 and 999,140

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Solution

The third proportional to 489,202 and 999,140 is: 2,040,630.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,202 : 999,140 = 999,140 : x
  2. Step 2: Convert to fraction form
    489,202/999,140 = 999,140/x
  3. Step 3: Cross multiply
    489,202x = 999,140 × 999,140
  4. Step 4: Simplify right side
    489,202x = 998,280,739,600
  5. Step 5: Solve for x
    x = 998,280,739,600/489,202
  6. Step 6: Final answer
    x = 2,040,630.95

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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.