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Finding the Third Proportional to 177,198 and 255,861

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Solution

The third proportional to 177,198 and 255,861 is: 369,444.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,198 : 255,861 = 255,861 : x
  2. Step 2: Convert to fraction form
    177,198/255,861 = 255,861/x
  3. Step 3: Cross multiply
    177,198x = 255,861 × 255,861
  4. Step 4: Simplify right side
    177,198x = 65,464,851,321
  5. Step 5: Solve for x
    x = 65,464,851,321/177,198
  6. Step 6: Final answer
    x = 369,444.64

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.