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Finding the Third Proportional to 263,598 and 408,519

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Solution

The third proportional to 263,598 and 408,519 is: 633,114.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,598 : 408,519 = 408,519 : x
  2. Step 2: Convert to fraction form
    263,598/408,519 = 408,519/x
  3. Step 3: Cross multiply
    263,598x = 408,519 × 408,519
  4. Step 4: Simplify right side
    263,598x = 166,887,773,361
  5. Step 5: Solve for x
    x = 166,887,773,361/263,598
  6. Step 6: Final answer
    x = 633,114.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.