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Finding the Third Proportional to 511.87 and 1,272.19

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Solution

The third proportional to 511.87 and 1,272.19 is: 3,161.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.87 : 1,272.19 = 1,272.19 : x
  2. Step 2: Convert to fraction form
    511.87/1,272.19 = 1,272.19/x
  3. Step 3: Cross multiply
    511.87x = 1,272.19 × 1,272.19
  4. Step 4: Simplify right side
    511.87x = 1,618,468.49
  5. Step 5: Solve for x
    x = 1,618,468.49/511.87
  6. Step 6: Final answer
    x = 3,161.90

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Why These Related Problems?

These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.