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Finding the Third Proportional to 5,421.94 and 11,728.55

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Solution

The third proportional to 5,421.94 and 11,728.55 is: 25,370.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,421.94 : 11,728.55 = 11,728.55 : x
  2. Step 2: Convert to fraction form
    5,421.94/11,728.55 = 11,728.55/x
  3. Step 3: Cross multiply
    5,421.94x = 11,728.55 × 11,728.55
  4. Step 4: Simplify right side
    5,421.94x = 137,558,811.80
  5. Step 5: Solve for x
    x = 137,558,811.80/5,421.94
  6. Step 6: Final answer
    x = 25,370.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.