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Finding the Third Proportional to 93,767 and 202,195

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Solution

The third proportional to 93,767 and 202,195 is: 436,004.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,767 : 202,195 = 202,195 : x
  2. Step 2: Convert to fraction form
    93,767/202,195 = 202,195/x
  3. Step 3: Cross multiply
    93,767x = 202,195 × 202,195
  4. Step 4: Simplify right side
    93,767x = 40,882,818,025
  5. Step 5: Solve for x
    x = 40,882,818,025/93,767
  6. Step 6: Final answer
    x = 436,004.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.