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Finding the Third Proportional to 203,947 and 479,975

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Solution

The third proportional to 203,947 and 479,975 is: 1,129,587.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,947 : 479,975 = 479,975 : x
  2. Step 2: Convert to fraction form
    203,947/479,975 = 479,975/x
  3. Step 3: Cross multiply
    203,947x = 479,975 × 479,975
  4. Step 4: Simplify right side
    203,947x = 230,376,000,625
  5. Step 5: Solve for x
    x = 230,376,000,625/203,947
  6. Step 6: Final answer
    x = 1,129,587.59

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.