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Finding the Third Proportional to 1,733.98 and 2,644.24

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Solution

The third proportional to 1,733.98 and 2,644.24 is: 4,032.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.98 : 2,644.24 = 2,644.24 : x
  2. Step 2: Convert to fraction form
    1,733.98/2,644.24 = 2,644.24/x
  3. Step 3: Cross multiply
    1,733.98x = 2,644.24 × 2,644.24
  4. Step 4: Simplify right side
    1,733.98x = 6,992,016.75
  5. Step 5: Solve for x
    x = 6,992,016.75/1,733.98
  6. Step 6: Final answer
    x = 4,032.36

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.