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Finding the Third Proportional to 333.42 and 429.68

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Solution

The third proportional to 333.42 and 429.68 is: 553.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.42 : 429.68 = 429.68 : x
  2. Step 2: Convert to fraction form
    333.42/429.68 = 429.68/x
  3. Step 3: Cross multiply
    333.42x = 429.68 × 429.68
  4. Step 4: Simplify right side
    333.42x = 184,624.63
  5. Step 5: Solve for x
    x = 184,624.63/333.42
  6. Step 6: Final answer
    x = 553.73

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.