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Finding the Third Proportional to 3,678.75 and 8,685.56

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Solution

The third proportional to 3,678.75 and 8,685.56 is: 20,506.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.75 : 8,685.56 = 8,685.56 : x
  2. Step 2: Convert to fraction form
    3,678.75/8,685.56 = 8,685.56/x
  3. Step 3: Cross multiply
    3,678.75x = 8,685.56 × 8,685.56
  4. Step 4: Simplify right side
    3,678.75x = 75,438,995.94
  5. Step 5: Solve for x
    x = 75,438,995.94/3,678.75
  6. Step 6: Final answer
    x = 20,506.69

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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.