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Finding the Third Proportional to 644,816 and 996,867

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Solution

The third proportional to 644,816 and 996,867 is: 1,541,127.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,816 : 996,867 = 996,867 : x
  2. Step 2: Convert to fraction form
    644,816/996,867 = 996,867/x
  3. Step 3: Cross multiply
    644,816x = 996,867 × 996,867
  4. Step 4: Simplify right side
    644,816x = 993,743,815,689
  5. Step 5: Solve for x
    x = 993,743,815,689/644,816
  6. Step 6: Final answer
    x = 1,541,127.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.