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Finding the Third Proportional to 263,424 and 397,408

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Solution

The third proportional to 263,424 and 397,408 is: 599,539.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,424 : 397,408 = 397,408 : x
  2. Step 2: Convert to fraction form
    263,424/397,408 = 397,408/x
  3. Step 3: Cross multiply
    263,424x = 397,408 × 397,408
  4. Step 4: Simplify right side
    263,424x = 157,933,118,464
  5. Step 5: Solve for x
    x = 157,933,118,464/263,424
  6. Step 6: Final answer
    x = 599,539.60

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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.