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Finding the Third Proportional to 264,589 and 397,480

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Solution

The third proportional to 264,589 and 397,480 is: 597,116.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,589 : 397,480 = 397,480 : x
  2. Step 2: Convert to fraction form
    264,589/397,480 = 397,480/x
  3. Step 3: Cross multiply
    264,589x = 397,480 × 397,480
  4. Step 4: Simplify right side
    264,589x = 157,990,350,400
  5. Step 5: Solve for x
    x = 157,990,350,400/264,589
  6. Step 6: Final answer
    x = 597,116.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.