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Finding the Third Proportional to 20,205 and 30,246.75

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Solution

The third proportional to 20,205 and 30,246.75 is: 45,279.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,205 : 30,246.75 = 30,246.75 : x
  2. Step 2: Convert to fraction form
    20,205/30,246.75 = 30,246.75/x
  3. Step 3: Cross multiply
    20,205x = 30,246.75 × 30,246.75
  4. Step 4: Simplify right side
    20,205x = 914,865,885.56
  5. Step 5: Solve for x
    x = 914,865,885.56/20,205
  6. Step 6: Final answer
    x = 45,279.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.