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Finding the Third Proportional to 177,828 and 275,262

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Solution

The third proportional to 177,828 and 275,262 is: 426,081.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,828 : 275,262 = 275,262 : x
  2. Step 2: Convert to fraction form
    177,828/275,262 = 275,262/x
  3. Step 3: Cross multiply
    177,828x = 275,262 × 275,262
  4. Step 4: Simplify right side
    177,828x = 75,769,168,644
  5. Step 5: Solve for x
    x = 75,769,168,644/177,828
  6. Step 6: Final answer
    x = 426,081.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.