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Finding the Third Proportional to 231.09 and 498.84

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Solution

The third proportional to 231.09 and 498.84 is: 1,076.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.09 : 498.84 = 498.84 : x
  2. Step 2: Convert to fraction form
    231.09/498.84 = 498.84/x
  3. Step 3: Cross multiply
    231.09x = 498.84 × 498.84
  4. Step 4: Simplify right side
    231.09x = 248,845.09
  5. Step 5: Solve for x
    x = 248,845.09/231.09
  6. Step 6: Final answer
    x = 1,076.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.