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Finding the Third Proportional to 263,331 and 397,320

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Solution

The third proportional to 263,331 and 397,320 is: 599,485.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,331 : 397,320 = 397,320 : x
  2. Step 2: Convert to fraction form
    263,331/397,320 = 397,320/x
  3. Step 3: Cross multiply
    263,331x = 397,320 × 397,320
  4. Step 4: Simplify right side
    263,331x = 157,863,182,400
  5. Step 5: Solve for x
    x = 157,863,182,400/263,331
  6. Step 6: Final answer
    x = 599,485.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.