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Finding the Third Proportional to 397,259 and 559,675

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Solution

The third proportional to 397,259 and 559,675 is: 788,493.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,259 : 559,675 = 559,675 : x
  2. Step 2: Convert to fraction form
    397,259/559,675 = 559,675/x
  3. Step 3: Cross multiply
    397,259x = 559,675 × 559,675
  4. Step 4: Simplify right side
    397,259x = 313,236,105,625
  5. Step 5: Solve for x
    x = 313,236,105,625/397,259
  6. Step 6: Final answer
    x = 788,493.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.