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Finding the Third Proportional to 196,509.50 and 421,057

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Solution

The third proportional to 196,509.50 and 421,057 is: 902,190.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,509.50 : 421,057 = 421,057 : x
  2. Step 2: Convert to fraction form
    196,509.50/421,057 = 421,057/x
  3. Step 3: Cross multiply
    196,509.50x = 421,057 × 421,057
  4. Step 4: Simplify right side
    196,509.50x = 177,288,997,249
  5. Step 5: Solve for x
    x = 177,288,997,249/196,509.50
  6. Step 6: Final answer
    x = 902,190.47

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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.