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Finding the Third Proportional to 177,622 and 380,436

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Solution

The third proportional to 177,622 and 380,436 is: 814,828.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,622 : 380,436 = 380,436 : x
  2. Step 2: Convert to fraction form
    177,622/380,436 = 380,436/x
  3. Step 3: Cross multiply
    177,622x = 380,436 × 380,436
  4. Step 4: Simplify right side
    177,622x = 144,731,550,096
  5. Step 5: Solve for x
    x = 144,731,550,096/177,622
  6. Step 6: Final answer
    x = 814,828.96

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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.