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Finding the Third Proportional to 9,819 and 20,205

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Solution

The third proportional to 9,819 and 20,205 is: 41,576.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,819 : 20,205 = 20,205 : x
  2. Step 2: Convert to fraction form
    9,819/20,205 = 20,205/x
  3. Step 3: Cross multiply
    9,819x = 20,205 × 20,205
  4. Step 4: Simplify right side
    9,819x = 408,242,025
  5. Step 5: Solve for x
    x = 408,242,025/9,819
  6. Step 6: Final answer
    x = 41,576.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.