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Finding the Third Proportional to 177,600 and 271,686

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Solution

The third proportional to 177,600 and 271,686 is: 415,615.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,600 : 271,686 = 271,686 : x
  2. Step 2: Convert to fraction form
    177,600/271,686 = 271,686/x
  3. Step 3: Cross multiply
    177,600x = 271,686 × 271,686
  4. Step 4: Simplify right side
    177,600x = 73,813,282,596
  5. Step 5: Solve for x
    x = 73,813,282,596/177,600
  6. Step 6: Final answer
    x = 415,615.33

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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.