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Finding the Third Proportional to 21,190.50 and 28,329.75

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Solution

The third proportional to 21,190.50 and 28,329.75 is: 37,874.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,190.50 : 28,329.75 = 28,329.75 : x
  2. Step 2: Convert to fraction form
    21,190.50/28,329.75 = 28,329.75/x
  3. Step 3: Cross multiply
    21,190.50x = 28,329.75 × 28,329.75
  4. Step 4: Simplify right side
    21,190.50x = 802,574,735.06
  5. Step 5: Solve for x
    x = 802,574,735.06/21,190.50
  6. Step 6: Final answer
    x = 37,874.27

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.