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Finding the Third Proportional to 177,860 and 271,308

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Solution

The third proportional to 177,860 and 271,308 is: 413,853.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,860 : 271,308 = 271,308 : x
  2. Step 2: Convert to fraction form
    177,860/271,308 = 271,308/x
  3. Step 3: Cross multiply
    177,860x = 271,308 × 271,308
  4. Step 4: Simplify right side
    177,860x = 73,608,030,864
  5. Step 5: Solve for x
    x = 73,608,030,864/177,860
  6. Step 6: Final answer
    x = 413,853.77

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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.