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Finding the Third Proportional to 1,518.51 and 3,286.91

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Solution

The third proportional to 1,518.51 and 3,286.91 is: 7,114.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.51 : 3,286.91 = 3,286.91 : x
  2. Step 2: Convert to fraction form
    1,518.51/3,286.91 = 3,286.91/x
  3. Step 3: Cross multiply
    1,518.51x = 3,286.91 × 3,286.91
  4. Step 4: Simplify right side
    1,518.51x = 10,803,759.12
  5. Step 5: Solve for x
    x = 10,803,759.12/1,518.51
  6. Step 6: Final answer
    x = 7,114.70

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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.