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Finding the Third Proportional to 3,931.66 and 8,553.41

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Solution

The third proportional to 3,931.66 and 8,553.41 is: 18,608.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,931.66 : 8,553.41 = 8,553.41 : x
  2. Step 2: Convert to fraction form
    3,931.66/8,553.41 = 8,553.41/x
  3. Step 3: Cross multiply
    3,931.66x = 8,553.41 × 8,553.41
  4. Step 4: Simplify right side
    3,931.66x = 73,160,825.30
  5. Step 5: Solve for x
    x = 73,160,825.30/3,931.66
  6. Step 6: Final answer
    x = 18,608.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.