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Finding the Third Proportional to 400,974 and 835,121.25

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Solution

The third proportional to 400,974 and 835,121.25 is: 1,739,333.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,974 : 835,121.25 = 835,121.25 : x
  2. Step 2: Convert to fraction form
    400,974/835,121.25 = 835,121.25/x
  3. Step 3: Cross multiply
    400,974x = 835,121.25 × 835,121.25
  4. Step 4: Simplify right side
    400,974x = 697,427,502,201.56
  5. Step 5: Solve for x
    x = 697,427,502,201.56/400,974
  6. Step 6: Final answer
    x = 1,739,333.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.