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Finding the Third Proportional to 644,814 and 996,864

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Solution

The third proportional to 644,814 and 996,864 is: 1,541,123.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,814 : 996,864 = 996,864 : x
  2. Step 2: Convert to fraction form
    644,814/996,864 = 996,864/x
  3. Step 3: Cross multiply
    644,814x = 996,864 × 996,864
  4. Step 4: Simplify right side
    644,814x = 993,737,834,496
  5. Step 5: Solve for x
    x = 993,737,834,496/644,814
  6. Step 6: Final answer
    x = 1,541,123.23

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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.