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Finding the Third Proportional to 196,862 and 421,607

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Solution

The third proportional to 196,862 and 421,607 is: 902,929.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,862 : 421,607 = 421,607 : x
  2. Step 2: Convert to fraction form
    196,862/421,607 = 421,607/x
  3. Step 3: Cross multiply
    196,862x = 421,607 × 421,607
  4. Step 4: Simplify right side
    196,862x = 177,752,462,449
  5. Step 5: Solve for x
    x = 177,752,462,449/196,862
  6. Step 6: Final answer
    x = 902,929.27

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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.