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Finding the Third Proportional to 418,767.75 and 908,399.25

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Solution

The third proportional to 418,767.75 and 908,399.25 is: 1,970,517.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,767.75 : 908,399.25 = 908,399.25 : x
  2. Step 2: Convert to fraction form
    418,767.75/908,399.25 = 908,399.25/x
  3. Step 3: Cross multiply
    418,767.75x = 908,399.25 × 908,399.25
  4. Step 4: Simplify right side
    418,767.75x = 825,189,197,400.56
  5. Step 5: Solve for x
    x = 825,189,197,400.56/418,767.75
  6. Step 6: Final answer
    x = 1,970,517.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.