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Finding the Third Proportional to 177,318 and 379,548

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Solution

The third proportional to 177,318 and 379,548 is: 812,419.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,318 : 379,548 = 379,548 : x
  2. Step 2: Convert to fraction form
    177,318/379,548 = 379,548/x
  3. Step 3: Cross multiply
    177,318x = 379,548 × 379,548
  4. Step 4: Simplify right side
    177,318x = 144,056,684,304
  5. Step 5: Solve for x
    x = 144,056,684,304/177,318
  6. Step 6: Final answer
    x = 812,419.97

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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.