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Finding the Third Proportional to 342.84 and 550.55

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Solution

The third proportional to 342.84 and 550.55 is: 884.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.84 : 550.55 = 550.55 : x
  2. Step 2: Convert to fraction form
    342.84/550.55 = 550.55/x
  3. Step 3: Cross multiply
    342.84x = 550.55 × 550.55
  4. Step 4: Simplify right side
    342.84x = 303,101.86
  5. Step 5: Solve for x
    x = 303,101.86/342.84
  6. Step 6: Final answer
    x = 884.08

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.