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Finding the Third Proportional to 275,388 and 420,996

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Solution

The third proportional to 275,388 and 420,996 is: 643,592.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,388 : 420,996 = 420,996 : x
  2. Step 2: Convert to fraction form
    275,388/420,996 = 420,996/x
  3. Step 3: Cross multiply
    275,388x = 420,996 × 420,996
  4. Step 4: Simplify right side
    275,388x = 177,237,632,016
  5. Step 5: Solve for x
    x = 177,237,632,016/275,388
  6. Step 6: Final answer
    x = 643,592.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.