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Finding the Third Proportional to 20,698 and 31,107

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Solution

The third proportional to 20,698 and 31,107 is: 46,750.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,698 : 31,107 = 31,107 : x
  2. Step 2: Convert to fraction form
    20,698/31,107 = 31,107/x
  3. Step 3: Cross multiply
    20,698x = 31,107 × 31,107
  4. Step 4: Simplify right side
    20,698x = 967,645,449
  5. Step 5: Solve for x
    x = 967,645,449/20,698
  6. Step 6: Final answer
    x = 46,750.67

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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.