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Finding the Third Proportional to 499.22 and 656.86

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Solution

The third proportional to 499.22 and 656.86 is: 864.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.22 : 656.86 = 656.86 : x
  2. Step 2: Convert to fraction form
    499.22/656.86 = 656.86/x
  3. Step 3: Cross multiply
    499.22x = 656.86 × 656.86
  4. Step 4: Simplify right side
    499.22x = 431,464.24
  5. Step 5: Solve for x
    x = 431,464.24/499.22
  6. Step 6: Final answer
    x = 864.28

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.