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Finding the Third Proportional to 205,021.25 and 288,589

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Solution

The third proportional to 205,021.25 and 288,589 is: 406,219.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,021.25 : 288,589 = 288,589 : x
  2. Step 2: Convert to fraction form
    205,021.25/288,589 = 288,589/x
  3. Step 3: Cross multiply
    205,021.25x = 288,589 × 288,589
  4. Step 4: Simplify right side
    205,021.25x = 83,283,610,921
  5. Step 5: Solve for x
    x = 83,283,610,921/205,021.25
  6. Step 6: Final answer
    x = 406,219.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.