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Finding the Third Proportional to 9,193.50 and 19,942.88

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Solution

The third proportional to 9,193.50 and 19,942.88 is: 43,260.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.50 : 19,942.88 = 19,942.88 : x
  2. Step 2: Convert to fraction form
    9,193.50/19,942.88 = 19,942.88/x
  3. Step 3: Cross multiply
    9,193.50x = 19,942.88 × 19,942.88
  4. Step 4: Simplify right side
    9,193.50x = 397,718,263.27
  5. Step 5: Solve for x
    x = 397,718,263.27/9,193.50
  6. Step 6: Final answer
    x = 43,260.81

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1.5x scale

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.