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Finding the Third Proportional to 5,439.94 and 8,645.91

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Solution

The third proportional to 5,439.94 and 8,645.91 is: 13,741.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,439.94 : 8,645.91 = 8,645.91 : x
  2. Step 2: Convert to fraction form
    5,439.94/8,645.91 = 8,645.91/x
  3. Step 3: Cross multiply
    5,439.94x = 8,645.91 × 8,645.91
  4. Step 4: Simplify right side
    5,439.94x = 74,751,694.88
  5. Step 5: Solve for x
    x = 74,751,694.88/5,439.94
  6. Step 6: Final answer
    x = 13,741.28

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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.