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Finding the Third Proportional to 238.29 and 520.45

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Solution

The third proportional to 238.29 and 520.45 is: 1,136.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.29 : 520.45 = 520.45 : x
  2. Step 2: Convert to fraction form
    238.29/520.45 = 520.45/x
  3. Step 3: Cross multiply
    238.29x = 520.45 × 520.45
  4. Step 4: Simplify right side
    238.29x = 270,871.46
  5. Step 5: Solve for x
    x = 270,871.46/238.29
  6. Step 6: Final answer
    x = 1,136.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.