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Finding the Third Proportional to 550.83 and 697.15

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Solution

The third proportional to 550.83 and 697.15 is: 882.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.83 : 697.15 = 697.15 : x
  2. Step 2: Convert to fraction form
    550.83/697.15 = 697.15/x
  3. Step 3: Cross multiply
    550.83x = 697.15 × 697.15
  4. Step 4: Simplify right side
    550.83x = 486,015.94
  5. Step 5: Solve for x
    x = 486,015.94/550.83
  6. Step 6: Final answer
    x = 882.34

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.