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Finding the Third Proportional to 637,920 and 1,380,816

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Solution

The third proportional to 637,920 and 1,380,816 is: 2,988,858.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,920 : 1,380,816 = 1,380,816 : x
  2. Step 2: Convert to fraction form
    637,920/1,380,816 = 1,380,816/x
  3. Step 3: Cross multiply
    637,920x = 1,380,816 × 1,380,816
  4. Step 4: Simplify right side
    637,920x = 1,906,652,825,856
  5. Step 5: Solve for x
    x = 1,906,652,825,856/637,920
  6. Step 6: Final answer
    x = 2,988,858.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.