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Finding the Third Proportional to 255.70 and 552.28

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Solution

The third proportional to 255.70 and 552.28 is: 1,192.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.70 : 552.28 = 552.28 : x
  2. Step 2: Convert to fraction form
    255.70/552.28 = 552.28/x
  3. Step 3: Cross multiply
    255.70x = 552.28 × 552.28
  4. Step 4: Simplify right side
    255.70x = 305,014.58
  5. Step 5: Solve for x
    x = 305,014.58/255.70
  6. Step 6: Final answer
    x = 1,192.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.