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Finding the Third Proportional to 115,517 and 177,450

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Solution

The third proportional to 115,517 and 177,450 is: 272,587.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,517 : 177,450 = 177,450 : x
  2. Step 2: Convert to fraction form
    115,517/177,450 = 177,450/x
  3. Step 3: Cross multiply
    115,517x = 177,450 × 177,450
  4. Step 4: Simplify right side
    115,517x = 31,488,502,500
  5. Step 5: Solve for x
    x = 31,488,502,500/115,517
  6. Step 6: Final answer
    x = 272,587.61

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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.