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Finding the Third Proportional to 177,812 and 275,142

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Solution

The third proportional to 177,812 and 275,142 is: 425,748.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,812 : 275,142 = 275,142 : x
  2. Step 2: Convert to fraction form
    177,812/275,142 = 275,142/x
  3. Step 3: Cross multiply
    177,812x = 275,142 × 275,142
  4. Step 4: Simplify right side
    177,812x = 75,703,120,164
  5. Step 5: Solve for x
    x = 75,703,120,164/177,812
  6. Step 6: Final answer
    x = 425,748.09

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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.