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Finding the Third Proportional to 3,657.56 and 8,628.94

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Solution

The third proportional to 3,657.56 and 8,628.94 is: 20,357.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.56 : 8,628.94 = 8,628.94 : x
  2. Step 2: Convert to fraction form
    3,657.56/8,628.94 = 8,628.94/x
  3. Step 3: Cross multiply
    3,657.56x = 8,628.94 × 8,628.94
  4. Step 4: Simplify right side
    3,657.56x = 74,458,562.38
  5. Step 5: Solve for x
    x = 74,458,562.38/3,657.56
  6. Step 6: Final answer
    x = 20,357.43

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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.