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Finding the Third Proportional to 231.09 and 494.53

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Solution

The third proportional to 231.09 and 494.53 is: 1,058.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.09 : 494.53 = 494.53 : x
  2. Step 2: Convert to fraction form
    231.09/494.53 = 494.53/x
  3. Step 3: Cross multiply
    231.09x = 494.53 × 494.53
  4. Step 4: Simplify right side
    231.09x = 244,561.16
  5. Step 5: Solve for x
    x = 244,561.16/231.09
  6. Step 6: Final answer
    x = 1,058.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.