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Finding the Third Proportional to 289,550.58 and 440,229.32

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Solution

The third proportional to 289,550.58 and 440,229.32 is: 669,319.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,550.58 : 440,229.32 = 440,229.32 : x
  2. Step 2: Convert to fraction form
    289,550.58/440,229.32 = 440,229.32/x
  3. Step 3: Cross multiply
    289,550.58x = 440,229.32 × 440,229.32
  4. Step 4: Simplify right side
    289,550.58x = 193,801,858,117.05
  5. Step 5: Solve for x
    x = 193,801,858,117.05/289,550.58
  6. Step 6: Final answer
    x = 669,319.54

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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.