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Finding the Third Proportional to 177,828 and 268,647

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Solution

The third proportional to 177,828 and 268,647 is: 405,848.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,828 : 268,647 = 268,647 : x
  2. Step 2: Convert to fraction form
    177,828/268,647 = 268,647/x
  3. Step 3: Cross multiply
    177,828x = 268,647 × 268,647
  4. Step 4: Simplify right side
    177,828x = 72,171,210,609
  5. Step 5: Solve for x
    x = 72,171,210,609/177,828
  6. Step 6: Final answer
    x = 405,848.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.