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Finding the Third Proportional to 204,934.50 and 420,075

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Solution

The third proportional to 204,934.50 and 420,075 is: 861,070.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,934.50 : 420,075 = 420,075 : x
  2. Step 2: Convert to fraction form
    204,934.50/420,075 = 420,075/x
  3. Step 3: Cross multiply
    204,934.50x = 420,075 × 420,075
  4. Step 4: Simplify right side
    204,934.50x = 176,463,005,625
  5. Step 5: Solve for x
    x = 176,463,005,625/204,934.50
  6. Step 6: Final answer
    x = 861,070.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.