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Finding the Third Proportional to 5,133.38 and 8,161.31

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Solution

The third proportional to 5,133.38 and 8,161.31 is: 12,975.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,133.38 : 8,161.31 = 8,161.31 : x
  2. Step 2: Convert to fraction form
    5,133.38/8,161.31 = 8,161.31/x
  3. Step 3: Cross multiply
    5,133.38x = 8,161.31 × 8,161.31
  4. Step 4: Simplify right side
    5,133.38x = 66,607,021.72
  5. Step 5: Solve for x
    x = 66,607,021.72/5,133.38
  6. Step 6: Final answer
    x = 12,975.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.