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Finding the Third Proportional to 196,503.75 and 421,022.25

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Solution

The third proportional to 196,503.75 and 421,022.25 is: 902,067.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,503.75 : 421,022.25 = 421,022.25 : x
  2. Step 2: Convert to fraction form
    196,503.75/421,022.25 = 421,022.25/x
  3. Step 3: Cross multiply
    196,503.75x = 421,022.25 × 421,022.25
  4. Step 4: Simplify right side
    196,503.75x = 177,259,734,995.06
  5. Step 5: Solve for x
    x = 177,259,734,995.06/196,503.75
  6. Step 6: Final answer
    x = 902,067.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.