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Finding the Third Proportional to 739.88 and 1,719.94

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Solution

The third proportional to 739.88 and 1,719.94 is: 3,998.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.88 : 1,719.94 = 1,719.94 : x
  2. Step 2: Convert to fraction form
    739.88/1,719.94 = 1,719.94/x
  3. Step 3: Cross multiply
    739.88x = 1,719.94 × 1,719.94
  4. Step 4: Simplify right side
    739.88x = 2,958,185.00
  5. Step 5: Solve for x
    x = 2,958,185.00/739.88
  6. Step 6: Final answer
    x = 3,998.22

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.