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Finding the Third Proportional to 204,487.88 and 418,891.50

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Solution

The third proportional to 204,487.88 and 418,891.50 is: 858,095.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,487.88 : 418,891.50 = 418,891.50 : x
  2. Step 2: Convert to fraction form
    204,487.88/418,891.50 = 418,891.50/x
  3. Step 3: Cross multiply
    204,487.88x = 418,891.50 × 418,891.50
  4. Step 4: Simplify right side
    204,487.88x = 175,470,088,772.25
  5. Step 5: Solve for x
    x = 175,470,088,772.25/204,487.88
  6. Step 6: Final answer
    x = 858,095.32

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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.