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Finding the Third Proportional to 177,591 and 390,171

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Solution

The third proportional to 177,591 and 390,171 is: 857,213.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,591 : 390,171 = 390,171 : x
  2. Step 2: Convert to fraction form
    177,591/390,171 = 390,171/x
  3. Step 3: Cross multiply
    177,591x = 390,171 × 390,171
  4. Step 4: Simplify right side
    177,591x = 152,233,409,241
  5. Step 5: Solve for x
    x = 152,233,409,241/177,591
  6. Step 6: Final answer
    x = 857,213.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.