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Finding the Third Proportional to 11,205 and 19,909.13

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Solution

The third proportional to 11,205 and 19,909.13 is: 35,374.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,205 : 19,909.13 = 19,909.13 : x
  2. Step 2: Convert to fraction form
    11,205/19,909.13 = 19,909.13/x
  3. Step 3: Cross multiply
    11,205x = 19,909.13 × 19,909.13
  4. Step 4: Simplify right side
    11,205x = 396,373,258.27
  5. Step 5: Solve for x
    x = 396,373,258.27/11,205
  6. Step 6: Final answer
    x = 35,374.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.