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Finding the Third Proportional to 4,109.91 and 6,440.34

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Solution

The third proportional to 4,109.91 and 6,440.34 is: 10,092.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,109.91 : 6,440.34 = 6,440.34 : x
  2. Step 2: Convert to fraction form
    4,109.91/6,440.34 = 6,440.34/x
  3. Step 3: Cross multiply
    4,109.91x = 6,440.34 × 6,440.34
  4. Step 4: Simplify right side
    4,109.91x = 41,478,027.62
  5. Step 5: Solve for x
    x = 41,478,027.62/4,109.91
  6. Step 6: Final answer
    x = 10,092.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.