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Finding the Third Proportional to 96,732 and 202,212

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Solution

The third proportional to 96,732 and 202,212 is: 422,711.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,732 : 202,212 = 202,212 : x
  2. Step 2: Convert to fraction form
    96,732/202,212 = 202,212/x
  3. Step 3: Cross multiply
    96,732x = 202,212 × 202,212
  4. Step 4: Simplify right side
    96,732x = 40,889,692,944
  5. Step 5: Solve for x
    x = 40,889,692,944/96,732
  6. Step 6: Final answer
    x = 422,711.13

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.