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Finding the Third Proportional to 177,690.94 and 419,467.78

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Solution

The third proportional to 177,690.94 and 419,467.78 is: 990,220.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,690.94 : 419,467.78 = 419,467.78 : x
  2. Step 2: Convert to fraction form
    177,690.94/419,467.78 = 419,467.78/x
  3. Step 3: Cross multiply
    177,690.94x = 419,467.78 × 419,467.78
  4. Step 4: Simplify right side
    177,690.94x = 175,953,219,506.80
  5. Step 5: Solve for x
    x = 175,953,219,506.80/177,690.94
  6. Step 6: Final answer
    x = 990,220.56

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.