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Finding the Third Proportional to 170,480.50 and 255,721

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Solution

The third proportional to 170,480.50 and 255,721 is: 383,581.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,480.50 : 255,721 = 255,721 : x
  2. Step 2: Convert to fraction form
    170,480.50/255,721 = 255,721/x
  3. Step 3: Cross multiply
    170,480.50x = 255,721 × 255,721
  4. Step 4: Simplify right side
    170,480.50x = 65,393,229,841
  5. Step 5: Solve for x
    x = 65,393,229,841/170,480.50
  6. Step 6: Final answer
    x = 383,581.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.