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Finding the Third Proportional to 739.76 and 1,561.78

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Solution

The third proportional to 739.76 and 1,561.78 is: 3,297.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.76 : 1,561.78 = 1,561.78 : x
  2. Step 2: Convert to fraction form
    739.76/1,561.78 = 1,561.78/x
  3. Step 3: Cross multiply
    739.76x = 1,561.78 × 1,561.78
  4. Step 4: Simplify right side
    739.76x = 2,439,160.67
  5. Step 5: Solve for x
    x = 2,439,160.67/739.76
  6. Step 6: Final answer
    x = 3,297.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.