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Finding the Third Proportional to 239.95 and 522.59

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Solution

The third proportional to 239.95 and 522.59 is: 1,138.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.95 : 522.59 = 522.59 : x
  2. Step 2: Convert to fraction form
    239.95/522.59 = 522.59/x
  3. Step 3: Cross multiply
    239.95x = 522.59 × 522.59
  4. Step 4: Simplify right side
    239.95x = 273,096.06
  5. Step 5: Solve for x
    x = 273,096.06/239.95
  6. Step 6: Final answer
    x = 1,138.12

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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.