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Finding the Third Proportional to 263,498 and 397,563

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Solution

The third proportional to 263,498 and 397,563 is: 599,838.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,498 : 397,563 = 397,563 : x
  2. Step 2: Convert to fraction form
    263,498/397,563 = 397,563/x
  3. Step 3: Cross multiply
    263,498x = 397,563 × 397,563
  4. Step 4: Simplify right side
    263,498x = 158,056,338,969
  5. Step 5: Solve for x
    x = 158,056,338,969/263,498
  6. Step 6: Final answer
    x = 599,838.86

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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.