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Finding the Third Proportional to 7,502.25 and 9,054.75

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Solution

The third proportional to 7,502.25 and 9,054.75 is: 10,928.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,502.25 : 9,054.75 = 9,054.75 : x
  2. Step 2: Convert to fraction form
    7,502.25/9,054.75 = 9,054.75/x
  3. Step 3: Cross multiply
    7,502.25x = 9,054.75 × 9,054.75
  4. Step 4: Simplify right side
    7,502.25x = 81,988,497.56
  5. Step 5: Solve for x
    x = 81,988,497.56/7,502.25
  6. Step 6: Final answer
    x = 10,928.52

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.