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Finding the Third Proportional to 8,490.94 and 18,441.84

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Solution

The third proportional to 8,490.94 and 18,441.84 is: 40,054.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.94 : 18,441.84 = 18,441.84 : x
  2. Step 2: Convert to fraction form
    8,490.94/18,441.84 = 18,441.84/x
  3. Step 3: Cross multiply
    8,490.94x = 18,441.84 × 18,441.84
  4. Step 4: Simplify right side
    8,490.94x = 340,101,600.90
  5. Step 5: Solve for x
    x = 340,101,600.90/8,490.94
  6. Step 6: Final answer
    x = 40,054.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.