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Finding the Third Proportional to 377,788.50 and 523,613.25

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Solution

The third proportional to 377,788.50 and 523,613.25 is: 725,725.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,788.50 : 523,613.25 = 523,613.25 : x
  2. Step 2: Convert to fraction form
    377,788.50/523,613.25 = 523,613.25/x
  3. Step 3: Cross multiply
    377,788.50x = 523,613.25 × 523,613.25
  4. Step 4: Simplify right side
    377,788.50x = 274,170,835,575.56
  5. Step 5: Solve for x
    x = 274,170,835,575.56/377,788.50
  6. Step 6: Final answer
    x = 725,725.73

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.