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Finding the Third Proportional to 196,434 and 421,542

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Solution

The third proportional to 196,434 and 421,542 is: 904,617.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,434 : 421,542 = 421,542 : x
  2. Step 2: Convert to fraction form
    196,434/421,542 = 421,542/x
  3. Step 3: Cross multiply
    196,434x = 421,542 × 421,542
  4. Step 4: Simplify right side
    196,434x = 177,697,657,764
  5. Step 5: Solve for x
    x = 177,697,657,764/196,434
  6. Step 6: Final answer
    x = 904,617.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.