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Finding the Third Proportional to 318,921.75 and 479,824.88

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Solution

The third proportional to 318,921.75 and 479,824.88 is: 721,907.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,921.75 : 479,824.88 = 479,824.88 : x
  2. Step 2: Convert to fraction form
    318,921.75/479,824.88 = 479,824.88/x
  3. Step 3: Cross multiply
    318,921.75x = 479,824.88 × 479,824.88
  4. Step 4: Simplify right side
    318,921.75x = 230,231,910,668.77
  5. Step 5: Solve for x
    x = 230,231,910,668.77/318,921.75
  6. Step 6: Final answer
    x = 721,907.21

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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.