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Finding the Third Proportional to 795.87 and 1,753.73

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Solution

The third proportional to 795.87 and 1,753.73 is: 3,864.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.87 : 1,753.73 = 1,753.73 : x
  2. Step 2: Convert to fraction form
    795.87/1,753.73 = 1,753.73/x
  3. Step 3: Cross multiply
    795.87x = 1,753.73 × 1,753.73
  4. Step 4: Simplify right side
    795.87x = 3,075,584.26
  5. Step 5: Solve for x
    x = 3,075,584.26/795.87
  6. Step 6: Final answer
    x = 3,864.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.