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Finding the Third Proportional to 20,721 and 31,083

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Solution

The third proportional to 20,721 and 31,083 is: 46,626.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,721 : 31,083 = 31,083 : x
  2. Step 2: Convert to fraction form
    20,721/31,083 = 31,083/x
  3. Step 3: Cross multiply
    20,721x = 31,083 × 31,083
  4. Step 4: Simplify right side
    20,721x = 966,152,889
  5. Step 5: Solve for x
    x = 966,152,889/20,721
  6. Step 6: Final answer
    x = 46,626.75

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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.