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Finding the Third Proportional to 20,698 and 31,660

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Solution

The third proportional to 20,698 and 31,660 is: 48,427.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,698 : 31,660 = 31,660 : x
  2. Step 2: Convert to fraction form
    20,698/31,660 = 31,660/x
  3. Step 3: Cross multiply
    20,698x = 31,660 × 31,660
  4. Step 4: Simplify right side
    20,698x = 1,002,355,600
  5. Step 5: Solve for x
    x = 1,002,355,600/20,698
  6. Step 6: Final answer
    x = 48,427.65

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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.