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Finding the Third Proportional to 405.32 and 550.55

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Solution

The third proportional to 405.32 and 550.55 is: 747.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.32 : 550.55 = 550.55 : x
  2. Step 2: Convert to fraction form
    405.32/550.55 = 550.55/x
  3. Step 3: Cross multiply
    405.32x = 550.55 × 550.55
  4. Step 4: Simplify right side
    405.32x = 303,101.86
  5. Step 5: Solve for x
    x = 303,101.86/405.32
  6. Step 6: Final answer
    x = 747.82

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.