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Finding the Third Proportional to 20,405.25 and 31,212

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Solution

The third proportional to 20,405.25 and 31,212 is: 47,742.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,405.25 : 31,212 = 31,212 : x
  2. Step 2: Convert to fraction form
    20,405.25/31,212 = 31,212/x
  3. Step 3: Cross multiply
    20,405.25x = 31,212 × 31,212
  4. Step 4: Simplify right side
    20,405.25x = 974,188,944
  5. Step 5: Solve for x
    x = 974,188,944/20,405.25
  6. Step 6: Final answer
    x = 47,742.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.