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Finding the Third Proportional to 285,678 and 379,230.75

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Solution

The third proportional to 285,678 and 379,230.75 is: 503,419.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,678 : 379,230.75 = 379,230.75 : x
  2. Step 2: Convert to fraction form
    285,678/379,230.75 = 379,230.75/x
  3. Step 3: Cross multiply
    285,678x = 379,230.75 × 379,230.75
  4. Step 4: Simplify right side
    285,678x = 143,815,961,745.56
  5. Step 5: Solve for x
    x = 143,815,961,745.56/285,678
  6. Step 6: Final answer
    x = 503,419.80

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.