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Finding the Third Proportional to 177,256 and 272,450

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Solution

The third proportional to 177,256 and 272,450 is: 418,767.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,256 : 272,450 = 272,450 : x
  2. Step 2: Convert to fraction form
    177,256/272,450 = 272,450/x
  3. Step 3: Cross multiply
    177,256x = 272,450 × 272,450
  4. Step 4: Simplify right side
    177,256x = 74,229,002,500
  5. Step 5: Solve for x
    x = 74,229,002,500/177,256
  6. Step 6: Final answer
    x = 418,767.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.