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Finding the Third Proportional to 511.97 and 1,100.48

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Solution

The third proportional to 511.97 and 1,100.48 is: 2,365.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.97 : 1,100.48 = 1,100.48 : x
  2. Step 2: Convert to fraction form
    511.97/1,100.48 = 1,100.48/x
  3. Step 3: Cross multiply
    511.97x = 1,100.48 × 1,100.48
  4. Step 4: Simplify right side
    511.97x = 1,211,065.86
  5. Step 5: Solve for x
    x = 1,211,065.86/511.97
  6. Step 6: Final answer
    x = 2,365.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.