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Finding the Third Proportional to 1,286.25 and 3,035.63

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Solution

The third proportional to 1,286.25 and 3,035.63 is: 7,164.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.25 : 3,035.63 = 3,035.63 : x
  2. Step 2: Convert to fraction form
    1,286.25/3,035.63 = 3,035.63/x
  3. Step 3: Cross multiply
    1,286.25x = 3,035.63 × 3,035.63
  4. Step 4: Simplify right side
    1,286.25x = 9,215,019.14
  5. Step 5: Solve for x
    x = 9,215,019.14/1,286.25
  6. Step 6: Final answer
    x = 7,164.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.