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Finding the Third Proportional to 20,072 and 31,205

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Solution

The third proportional to 20,072 and 31,205 is: 48,512.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,072 : 31,205 = 31,205 : x
  2. Step 2: Convert to fraction form
    20,072/31,205 = 31,205/x
  3. Step 3: Cross multiply
    20,072x = 31,205 × 31,205
  4. Step 4: Simplify right side
    20,072x = 973,752,025
  5. Step 5: Solve for x
    x = 973,752,025/20,072
  6. Step 6: Final answer
    x = 48,512.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.