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Finding the Third Proportional to 550.83 and 755.30

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Solution

The third proportional to 550.83 and 755.30 is: 1,035.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.83 : 755.30 = 755.30 : x
  2. Step 2: Convert to fraction form
    550.83/755.30 = 755.30/x
  3. Step 3: Cross multiply
    550.83x = 755.30 × 755.30
  4. Step 4: Simplify right side
    550.83x = 570,473.37
  5. Step 5: Solve for x
    x = 570,473.37/550.83
  6. Step 6: Final answer
    x = 1,035.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.