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Finding the Third Proportional to 93,766 and 202,293

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Solution

The third proportional to 93,766 and 202,293 is: 436,431.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,766 : 202,293 = 202,293 : x
  2. Step 2: Convert to fraction form
    93,766/202,293 = 202,293/x
  3. Step 3: Cross multiply
    93,766x = 202,293 × 202,293
  4. Step 4: Simplify right side
    93,766x = 40,922,457,849
  5. Step 5: Solve for x
    x = 40,922,457,849/93,766
  6. Step 6: Final answer
    x = 436,431.73

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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.