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Finding the Third Proportional to 199,617 and 408,548

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Solution

The third proportional to 199,617 and 408,548 is: 836,158.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,617 : 408,548 = 408,548 : x
  2. Step 2: Convert to fraction form
    199,617/408,548 = 408,548/x
  3. Step 3: Cross multiply
    199,617x = 408,548 × 408,548
  4. Step 4: Simplify right side
    199,617x = 166,911,468,304
  5. Step 5: Solve for x
    x = 166,911,468,304/199,617
  6. Step 6: Final answer
    x = 836,158.59

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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.