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Finding the Third Proportional to 20,595.75 and 30,846

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Solution

The third proportional to 20,595.75 and 30,846 is: 46,197.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,595.75 : 30,846 = 30,846 : x
  2. Step 2: Convert to fraction form
    20,595.75/30,846 = 30,846/x
  3. Step 3: Cross multiply
    20,595.75x = 30,846 × 30,846
  4. Step 4: Simplify right side
    20,595.75x = 951,475,716
  5. Step 5: Solve for x
    x = 951,475,716/20,595.75
  6. Step 6: Final answer
    x = 46,197.67

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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.