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Finding the Third Proportional to 1,292.25 and 2,789.63

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Solution

The third proportional to 1,292.25 and 2,789.63 is: 6,022.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.25 : 2,789.63 = 2,789.63 : x
  2. Step 2: Convert to fraction form
    1,292.25/2,789.63 = 2,789.63/x
  3. Step 3: Cross multiply
    1,292.25x = 2,789.63 × 2,789.63
  4. Step 4: Simplify right side
    1,292.25x = 7,782,007.64
  5. Step 5: Solve for x
    x = 7,782,007.64/1,292.25
  6. Step 6: Final answer
    x = 6,022.06

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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.