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Finding the Third Proportional to 499.92 and 666.42

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Solution

The third proportional to 499.92 and 666.42 is: 888.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.92 : 666.42 = 666.42 : x
  2. Step 2: Convert to fraction form
    499.92/666.42 = 666.42/x
  3. Step 3: Cross multiply
    499.92x = 666.42 × 666.42
  4. Step 4: Simplify right side
    499.92x = 444,118.12
  5. Step 5: Solve for x
    x = 444,118.12/499.92
  6. Step 6: Final answer
    x = 888.38

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.