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Finding the Third Proportional to 96,612 and 204,852

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Solution

The third proportional to 96,612 and 204,852 is: 434,359.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,612 : 204,852 = 204,852 : x
  2. Step 2: Convert to fraction form
    96,612/204,852 = 204,852/x
  3. Step 3: Cross multiply
    96,612x = 204,852 × 204,852
  4. Step 4: Simplify right side
    96,612x = 41,964,341,904
  5. Step 5: Solve for x
    x = 41,964,341,904/96,612
  6. Step 6: Final answer
    x = 434,359.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.