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Finding the Third Proportional to 196,521 and 421,077

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Solution

The third proportional to 196,521 and 421,077 is: 902,223.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,521 : 421,077 = 421,077 : x
  2. Step 2: Convert to fraction form
    196,521/421,077 = 421,077/x
  3. Step 3: Cross multiply
    196,521x = 421,077 × 421,077
  4. Step 4: Simplify right side
    196,521x = 177,305,839,929
  5. Step 5: Solve for x
    x = 177,305,839,929/196,521
  6. Step 6: Final answer
    x = 902,223.38

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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.