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Finding the Third Proportional to 177,591 and 380,454

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Solution

The third proportional to 177,591 and 380,454 is: 815,048.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,591 : 380,454 = 380,454 : x
  2. Step 2: Convert to fraction form
    177,591/380,454 = 380,454/x
  3. Step 3: Cross multiply
    177,591x = 380,454 × 380,454
  4. Step 4: Simplify right side
    177,591x = 144,745,246,116
  5. Step 5: Solve for x
    x = 144,745,246,116/177,591
  6. Step 6: Final answer
    x = 815,048.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.