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Finding the Third Proportional to 170,998 and 255,540

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Solution

The third proportional to 170,998 and 255,540 is: 381,879.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,998 : 255,540 = 255,540 : x
  2. Step 2: Convert to fraction form
    170,998/255,540 = 255,540/x
  3. Step 3: Cross multiply
    170,998x = 255,540 × 255,540
  4. Step 4: Simplify right side
    170,998x = 65,300,691,600
  5. Step 5: Solve for x
    x = 65,300,691,600/170,998
  6. Step 6: Final answer
    x = 381,879.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.