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Finding the Third Proportional to 180,649.62 and 389,046.80

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Solution

The third proportional to 180,649.62 and 389,046.80 is: 837,850.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,649.62 : 389,046.80 = 389,046.80 : x
  2. Step 2: Convert to fraction form
    180,649.62/389,046.80 = 389,046.80/x
  3. Step 3: Cross multiply
    180,649.62x = 389,046.80 × 389,046.80
  4. Step 4: Simplify right side
    180,649.62x = 151,357,410,158.70
  5. Step 5: Solve for x
    x = 151,357,410,158.70/180,649.62
  6. Step 6: Final answer
    x = 837,850.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.