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Finding the Third Proportional to 177,405 and 275,451

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Solution

The third proportional to 177,405 and 275,451 is: 427,683.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,405 : 275,451 = 275,451 : x
  2. Step 2: Convert to fraction form
    177,405/275,451 = 275,451/x
  3. Step 3: Cross multiply
    177,405x = 275,451 × 275,451
  4. Step 4: Simplify right side
    177,405x = 75,873,253,401
  5. Step 5: Solve for x
    x = 75,873,253,401/177,405
  6. Step 6: Final answer
    x = 427,683.85

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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.