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Finding the Third Proportional to 204,490.50 and 418,897

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Solution

The third proportional to 204,490.50 and 418,897 is: 858,106.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,490.50 : 418,897 = 418,897 : x
  2. Step 2: Convert to fraction form
    204,490.50/418,897 = 418,897/x
  3. Step 3: Cross multiply
    204,490.50x = 418,897 × 418,897
  4. Step 4: Simplify right side
    204,490.50x = 175,474,696,609
  5. Step 5: Solve for x
    x = 175,474,696,609/204,490.50
  6. Step 6: Final answer
    x = 858,106.84

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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.