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Finding the Third Proportional to 9,718 and 21,193

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Solution

The third proportional to 9,718 and 21,193 is: 46,217.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718 : 21,193 = 21,193 : x
  2. Step 2: Convert to fraction form
    9,718/21,193 = 21,193/x
  3. Step 3: Cross multiply
    9,718x = 21,193 × 21,193
  4. Step 4: Simplify right side
    9,718x = 449,143,249
  5. Step 5: Solve for x
    x = 449,143,249/9,718
  6. Step 6: Final answer
    x = 46,217.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.