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Finding the Third Proportional to 368.30 and 550.55

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Solution

The third proportional to 368.30 and 550.55 is: 822.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.30 : 550.55 = 550.55 : x
  2. Step 2: Convert to fraction form
    368.30/550.55 = 550.55/x
  3. Step 3: Cross multiply
    368.30x = 550.55 × 550.55
  4. Step 4: Simplify right side
    368.30x = 303,101.86
  5. Step 5: Solve for x
    x = 303,101.86/368.30
  6. Step 6: Final answer
    x = 822.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.