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Finding the Third Proportional to 231.93 and 509.41

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Solution

The third proportional to 231.93 and 509.41 is: 1,118.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.93 : 509.41 = 509.41 : x
  2. Step 2: Convert to fraction form
    231.93/509.41 = 509.41/x
  3. Step 3: Cross multiply
    231.93x = 509.41 × 509.41
  4. Step 4: Simplify right side
    231.93x = 259,502.69
  5. Step 5: Solve for x
    x = 259,502.69/231.93
  6. Step 6: Final answer
    x = 1,118.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.