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Finding the Third Proportional to 487,721 and 998,041

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Solution

The third proportional to 487,721 and 998,041 is: 2,042,327.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,721 : 998,041 = 998,041 : x
  2. Step 2: Convert to fraction form
    487,721/998,041 = 998,041/x
  3. Step 3: Cross multiply
    487,721x = 998,041 × 998,041
  4. Step 4: Simplify right side
    487,721x = 996,085,837,681
  5. Step 5: Solve for x
    x = 996,085,837,681/487,721
  6. Step 6: Final answer
    x = 2,042,327.15

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.