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Finding the Third Proportional to 1,193.25 and 2,562.80

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Solution

The third proportional to 1,193.25 and 2,562.80 is: 5,504.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.25 : 2,562.80 = 2,562.80 : x
  2. Step 2: Convert to fraction form
    1,193.25/2,562.80 = 2,562.80/x
  3. Step 3: Cross multiply
    1,193.25x = 2,562.80 × 2,562.80
  4. Step 4: Simplify right side
    1,193.25x = 6,567,927.82
  5. Step 5: Solve for x
    x = 6,567,927.82/1,193.25
  6. Step 6: Final answer
    x = 5,504.23

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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.