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Finding the Third Proportional to 398,589 and 605,265

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Solution

The third proportional to 398,589 and 605,265 is: 919,106.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,589 : 605,265 = 605,265 : x
  2. Step 2: Convert to fraction form
    398,589/605,265 = 605,265/x
  3. Step 3: Cross multiply
    398,589x = 605,265 × 605,265
  4. Step 4: Simplify right side
    398,589x = 366,345,720,225
  5. Step 5: Solve for x
    x = 366,345,720,225/398,589
  6. Step 6: Final answer
    x = 919,106.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.