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Finding the Third Proportional to 309,933.75 and 469,578.75

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Solution

The third proportional to 309,933.75 and 469,578.75 is: 711,455.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,933.75 : 469,578.75 = 469,578.75 : x
  2. Step 2: Convert to fraction form
    309,933.75/469,578.75 = 469,578.75/x
  3. Step 3: Cross multiply
    309,933.75x = 469,578.75 × 469,578.75
  4. Step 4: Simplify right side
    309,933.75x = 220,504,202,451.56
  5. Step 5: Solve for x
    x = 220,504,202,451.56/309,933.75
  6. Step 6: Final answer
    x = 711,455.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.