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Finding the Third Proportional to 197,656 and 408,488

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Solution

The third proportional to 197,656 and 408,488 is: 844,206.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,656 : 408,488 = 408,488 : x
  2. Step 2: Convert to fraction form
    197,656/408,488 = 408,488/x
  3. Step 3: Cross multiply
    197,656x = 408,488 × 408,488
  4. Step 4: Simplify right side
    197,656x = 166,862,446,144
  5. Step 5: Solve for x
    x = 166,862,446,144/197,656
  6. Step 6: Final answer
    x = 844,206.33

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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.