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Finding the Third Proportional to 393,598 and 815,204

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Solution

The third proportional to 393,598 and 815,204 is: 1,688,417.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,598 : 815,204 = 815,204 : x
  2. Step 2: Convert to fraction form
    393,598/815,204 = 815,204/x
  3. Step 3: Cross multiply
    393,598x = 815,204 × 815,204
  4. Step 4: Simplify right side
    393,598x = 664,557,561,616
  5. Step 5: Solve for x
    x = 664,557,561,616/393,598
  6. Step 6: Final answer
    x = 1,688,417.02

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.