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Finding the Third Proportional to 489,906 and 999,495

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Solution

The third proportional to 489,906 and 999,495 is: 2,039,146.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,906 : 999,495 = 999,495 : x
  2. Step 2: Convert to fraction form
    489,906/999,495 = 999,495/x
  3. Step 3: Cross multiply
    489,906x = 999,495 × 999,495
  4. Step 4: Simplify right side
    489,906x = 998,990,255,025
  5. Step 5: Solve for x
    x = 998,990,255,025/489,906
  6. Step 6: Final answer
    x = 2,039,146.81

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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.