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Finding the Third Proportional to 379,782 and 570,903

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Solution

The third proportional to 379,782 and 570,903 is: 858,203.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,782 : 570,903 = 570,903 : x
  2. Step 2: Convert to fraction form
    379,782/570,903 = 570,903/x
  3. Step 3: Cross multiply
    379,782x = 570,903 × 570,903
  4. Step 4: Simplify right side
    379,782x = 325,930,235,409
  5. Step 5: Solve for x
    x = 325,930,235,409/379,782
  6. Step 6: Final answer
    x = 858,203.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.