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Finding the Third Proportional to 196,574 and 421,190

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Solution

The third proportional to 196,574 and 421,190 is: 902,464.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,574 : 421,190 = 421,190 : x
  2. Step 2: Convert to fraction form
    196,574/421,190 = 421,190/x
  3. Step 3: Cross multiply
    196,574x = 421,190 × 421,190
  4. Step 4: Simplify right side
    196,574x = 177,401,016,100
  5. Step 5: Solve for x
    x = 177,401,016,100/196,574
  6. Step 6: Final answer
    x = 902,464.29

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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.