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Finding the Third Proportional to 93,826 and 206,852

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Solution

The third proportional to 93,826 and 206,852 is: 456,032.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,826 : 206,852 = 206,852 : x
  2. Step 2: Convert to fraction form
    93,826/206,852 = 206,852/x
  3. Step 3: Cross multiply
    93,826x = 206,852 × 206,852
  4. Step 4: Simplify right side
    93,826x = 42,787,749,904
  5. Step 5: Solve for x
    x = 42,787,749,904/93,826
  6. Step 6: Final answer
    x = 456,032.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.