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Finding the Third Proportional to 511.69 and 1,201.78

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Solution

The third proportional to 511.69 and 1,201.78 is: 2,822.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.69 : 1,201.78 = 1,201.78 : x
  2. Step 2: Convert to fraction form
    511.69/1,201.78 = 1,201.78/x
  3. Step 3: Cross multiply
    511.69x = 1,201.78 × 1,201.78
  4. Step 4: Simplify right side
    511.69x = 1,444,278.17
  5. Step 5: Solve for x
    x = 1,444,278.17/511.69
  6. Step 6: Final answer
    x = 2,822.58

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.