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Finding the Third Proportional to 177,359.75 and 389,212.25

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Solution

The third proportional to 177,359.75 and 389,212.25 is: 854,118.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,359.75 : 389,212.25 = 389,212.25 : x
  2. Step 2: Convert to fraction form
    177,359.75/389,212.25 = 389,212.25/x
  3. Step 3: Cross multiply
    177,359.75x = 389,212.25 × 389,212.25
  4. Step 4: Simplify right side
    177,359.75x = 151,486,175,550.06
  5. Step 5: Solve for x
    x = 151,486,175,550.06/177,359.75
  6. Step 6: Final answer
    x = 854,118.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.