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Finding the Third Proportional to 309,589.75 and 632,299.25

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Solution

The third proportional to 309,589.75 and 632,299.25 is: 1,291,393.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,589.75 : 632,299.25 = 632,299.25 : x
  2. Step 2: Convert to fraction form
    309,589.75/632,299.25 = 632,299.25/x
  3. Step 3: Cross multiply
    309,589.75x = 632,299.25 × 632,299.25
  4. Step 4: Simplify right side
    309,589.75x = 399,802,341,550.56
  5. Step 5: Solve for x
    x = 399,802,341,550.56/309,589.75
  6. Step 6: Final answer
    x = 1,291,393.99

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.