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Finding the Third Proportional to 521.25 and 1,138.69

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Solution

The third proportional to 521.25 and 1,138.69 is: 2,487.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.25 : 1,138.69 = 1,138.69 : x
  2. Step 2: Convert to fraction form
    521.25/1,138.69 = 1,138.69/x
  3. Step 3: Cross multiply
    521.25x = 1,138.69 × 1,138.69
  4. Step 4: Simplify right side
    521.25x = 1,296,609.22
  5. Step 5: Solve for x
    x = 1,296,609.22/521.25
  6. Step 6: Final answer
    x = 2,487.50

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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.