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Finding the Third Proportional to 240.30 and 519.21

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Solution

The third proportional to 240.30 and 519.21 is: 1,121.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.30 : 519.21 = 519.21 : x
  2. Step 2: Convert to fraction form
    240.30/519.21 = 519.21/x
  3. Step 3: Cross multiply
    240.30x = 519.21 × 519.21
  4. Step 4: Simplify right side
    240.30x = 269,580.00
  5. Step 5: Solve for x
    x = 269,580.00/240.30
  6. Step 6: Final answer
    x = 1,121.83

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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.