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Finding the Third Proportional to 93,785 and 204,790.50

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Solution

The third proportional to 93,785 and 204,790.50 is: 447,183.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,785 : 204,790.50 = 204,790.50 : x
  2. Step 2: Convert to fraction form
    93,785/204,790.50 = 204,790.50/x
  3. Step 3: Cross multiply
    93,785x = 204,790.50 × 204,790.50
  4. Step 4: Simplify right side
    93,785x = 41,939,148,890.25
  5. Step 5: Solve for x
    x = 41,939,148,890.25/93,785
  6. Step 6: Final answer
    x = 447,183.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.