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Finding the Third Proportional to 1,518.75 and 3,217.22

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Solution

The third proportional to 1,518.75 and 3,217.22 is: 6,815.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.75 : 3,217.22 = 3,217.22 : x
  2. Step 2: Convert to fraction form
    1,518.75/3,217.22 = 3,217.22/x
  3. Step 3: Cross multiply
    1,518.75x = 3,217.22 × 3,217.22
  4. Step 4: Simplify right side
    1,518.75x = 10,350,496.49
  5. Step 5: Solve for x
    x = 10,350,496.49/1,518.75
  6. Step 6: Final answer
    x = 6,815.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.