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Finding the Third Proportional to 5,406.89 and 11,621.95

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Solution

The third proportional to 5,406.89 and 11,621.95 is: 24,981.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.89 : 11,621.95 = 11,621.95 : x
  2. Step 2: Convert to fraction form
    5,406.89/11,621.95 = 11,621.95/x
  3. Step 3: Cross multiply
    5,406.89x = 11,621.95 × 11,621.95
  4. Step 4: Simplify right side
    5,406.89x = 135,069,794.44
  5. Step 5: Solve for x
    x = 135,069,794.44/5,406.89
  6. Step 6: Final answer
    x = 24,981.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.