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Finding the Third Proportional to 21,121.50 and 31,619

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Solution

The third proportional to 21,121.50 and 31,619 is: 47,333.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,121.50 : 31,619 = 31,619 : x
  2. Step 2: Convert to fraction form
    21,121.50/31,619 = 31,619/x
  3. Step 3: Cross multiply
    21,121.50x = 31,619 × 31,619
  4. Step 4: Simplify right side
    21,121.50x = 999,761,161
  5. Step 5: Solve for x
    x = 999,761,161/21,121.50
  6. Step 6: Final answer
    x = 47,333.81

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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.