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Finding the Third Proportional to 4,411.97 and 9,711.98

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Solution

The third proportional to 4,411.97 and 9,711.98 is: 21,378.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,411.97 : 9,711.98 = 9,711.98 : x
  2. Step 2: Convert to fraction form
    4,411.97/9,711.98 = 9,711.98/x
  3. Step 3: Cross multiply
    4,411.97x = 9,711.98 × 9,711.98
  4. Step 4: Simplify right side
    4,411.97x = 94,322,640.50
  5. Step 5: Solve for x
    x = 94,322,640.50/4,411.97
  6. Step 6: Final answer
    x = 21,378.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.