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Finding the Third Proportional to 2,288.25 and 3,089.25

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Solution

The third proportional to 2,288.25 and 3,089.25 is: 4,170.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.25 : 3,089.25 = 3,089.25 : x
  2. Step 2: Convert to fraction form
    2,288.25/3,089.25 = 3,089.25/x
  3. Step 3: Cross multiply
    2,288.25x = 3,089.25 × 3,089.25
  4. Step 4: Simplify right side
    2,288.25x = 9,543,465.56
  5. Step 5: Solve for x
    x = 9,543,465.56/2,288.25
  6. Step 6: Final answer
    x = 4,170.64

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.