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Finding the Third Proportional to 177,815 and 386,156

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Solution

The third proportional to 177,815 and 386,156 is: 838,604.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,815 : 386,156 = 386,156 : x
  2. Step 2: Convert to fraction form
    177,815/386,156 = 386,156/x
  3. Step 3: Cross multiply
    177,815x = 386,156 × 386,156
  4. Step 4: Simplify right side
    177,815x = 149,116,456,336
  5. Step 5: Solve for x
    x = 149,116,456,336/177,815
  6. Step 6: Final answer
    x = 838,604.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.