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Finding the Third Proportional to 177,269 and 379,455

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Solution

The third proportional to 177,269 and 379,455 is: 812,246.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,269 : 379,455 = 379,455 : x
  2. Step 2: Convert to fraction form
    177,269/379,455 = 379,455/x
  3. Step 3: Cross multiply
    177,269x = 379,455 × 379,455
  4. Step 4: Simplify right side
    177,269x = 143,986,097,025
  5. Step 5: Solve for x
    x = 143,986,097,025/177,269
  6. Step 6: Final answer
    x = 812,246.34

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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.