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Finding the Third Proportional to 489,908 and 999,498

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Solution

The third proportional to 489,908 and 999,498 is: 2,039,150.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,908 : 999,498 = 999,498 : x
  2. Step 2: Convert to fraction form
    489,908/999,498 = 999,498/x
  3. Step 3: Cross multiply
    489,908x = 999,498 × 999,498
  4. Step 4: Simplify right side
    489,908x = 998,996,252,004
  5. Step 5: Solve for x
    x = 998,996,252,004/489,908
  6. Step 6: Final answer
    x = 2,039,150.72

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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.