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Finding the Third Proportional to 89,885.83 and 199,724.21

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Solution

The third proportional to 89,885.83 and 199,724.21 is: 443,782.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,885.83 : 199,724.21 = 199,724.21 : x
  2. Step 2: Convert to fraction form
    89,885.83/199,724.21 = 199,724.21/x
  3. Step 3: Cross multiply
    89,885.83x = 199,724.21 × 199,724.21
  4. Step 4: Simplify right side
    89,885.83x = 39,889,761,784.68
  5. Step 5: Solve for x
    x = 39,889,761,784.68/89,885.83
  6. Step 6: Final answer
    x = 443,782.54

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.