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Finding the Third Proportional to 3,653.38 and 7,921.56

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Solution

The third proportional to 3,653.38 and 7,921.56 is: 17,176.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.38 : 7,921.56 = 7,921.56 : x
  2. Step 2: Convert to fraction form
    3,653.38/7,921.56 = 7,921.56/x
  3. Step 3: Cross multiply
    3,653.38x = 7,921.56 × 7,921.56
  4. Step 4: Simplify right side
    3,653.38x = 62,751,152.44
  5. Step 5: Solve for x
    x = 62,751,152.44/3,653.38
  6. Step 6: Final answer
    x = 17,176.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.