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Finding the Third Proportional to 3,678.75 and 9,054.56

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Solution

The third proportional to 3,678.75 and 9,054.56 is: 22,286.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.75 : 9,054.56 = 9,054.56 : x
  2. Step 2: Convert to fraction form
    3,678.75/9,054.56 = 9,054.56/x
  3. Step 3: Cross multiply
    3,678.75x = 9,054.56 × 9,054.56
  4. Step 4: Simplify right side
    3,678.75x = 81,985,102.07
  5. Step 5: Solve for x
    x = 81,985,102.07/3,678.75
  6. Step 6: Final answer
    x = 22,286.13

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Why These Related Problems?

These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.