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Finding the Third Proportional to 196,219 and 423,809

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Solution

The third proportional to 196,219 and 423,809 is: 915,375.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,219 : 423,809 = 423,809 : x
  2. Step 2: Convert to fraction form
    196,219/423,809 = 423,809/x
  3. Step 3: Cross multiply
    196,219x = 423,809 × 423,809
  4. Step 4: Simplify right side
    196,219x = 179,614,068,481
  5. Step 5: Solve for x
    x = 179,614,068,481/196,219
  6. Step 6: Final answer
    x = 915,375.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.