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Finding the Third Proportional to 4,161.75 and 9,118.31

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Solution

The third proportional to 4,161.75 and 9,118.31 is: 19,978.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.75 : 9,118.31 = 9,118.31 : x
  2. Step 2: Convert to fraction form
    4,161.75/9,118.31 = 9,118.31/x
  3. Step 3: Cross multiply
    4,161.75x = 9,118.31 × 9,118.31
  4. Step 4: Simplify right side
    4,161.75x = 83,143,622.85
  5. Step 5: Solve for x
    x = 83,143,622.85/4,161.75
  6. Step 6: Final answer
    x = 19,978.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.