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Finding the Third Proportional to 571.78 and 1,273.92

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Solution

The third proportional to 571.78 and 1,273.92 is: 2,838.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.78 : 1,273.92 = 1,273.92 : x
  2. Step 2: Convert to fraction form
    571.78/1,273.92 = 1,273.92/x
  3. Step 3: Cross multiply
    571.78x = 1,273.92 × 1,273.92
  4. Step 4: Simplify right side
    571.78x = 1,622,876.94
  5. Step 5: Solve for x
    x = 1,622,876.94/571.78
  6. Step 6: Final answer
    x = 2,838.28

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.