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Finding the Third Proportional to 5,454.84 and 8,149.36

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Solution

The third proportional to 5,454.84 and 8,149.36 is: 12,174.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,454.84 : 8,149.36 = 8,149.36 : x
  2. Step 2: Convert to fraction form
    5,454.84/8,149.36 = 8,149.36/x
  3. Step 3: Cross multiply
    5,454.84x = 8,149.36 × 8,149.36
  4. Step 4: Simplify right side
    5,454.84x = 66,412,058.22
  5. Step 5: Solve for x
    x = 66,412,058.22/5,454.84
  6. Step 6: Final answer
    x = 12,174.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.