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Finding the Third Proportional to 37,400.50 and 81,821

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Solution

The third proportional to 37,400.50 and 81,821 is: 178,999.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,400.50 : 81,821 = 81,821 : x
  2. Step 2: Convert to fraction form
    37,400.50/81,821 = 81,821/x
  3. Step 3: Cross multiply
    37,400.50x = 81,821 × 81,821
  4. Step 4: Simplify right side
    37,400.50x = 6,694,676,041
  5. Step 5: Solve for x
    x = 6,694,676,041/37,400.50
  6. Step 6: Final answer
    x = 178,999.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.