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Finding the Third Proportional to 419,721.75 and 913,923

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Solution

The third proportional to 419,721.75 and 913,923 is: 1,990,021.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,721.75 : 913,923 = 913,923 : x
  2. Step 2: Convert to fraction form
    419,721.75/913,923 = 913,923/x
  3. Step 3: Cross multiply
    419,721.75x = 913,923 × 913,923
  4. Step 4: Simplify right side
    419,721.75x = 835,255,249,929
  5. Step 5: Solve for x
    x = 835,255,249,929/419,721.75
  6. Step 6: Final answer
    x = 1,990,021.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.