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Finding the Third Proportional to 550.69 and 854.51

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Solution

The third proportional to 550.69 and 854.51 is: 1,325.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.69 : 854.51 = 854.51 : x
  2. Step 2: Convert to fraction form
    550.69/854.51 = 854.51/x
  3. Step 3: Cross multiply
    550.69x = 854.51 × 854.51
  4. Step 4: Simplify right side
    550.69x = 730,183.60
  5. Step 5: Solve for x
    x = 730,183.60/550.69
  6. Step 6: Final answer
    x = 1,325.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.