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Finding the Third Proportional to 93,502 and 202,676

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Solution

The third proportional to 93,502 and 202,676 is: 439,322.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,502 : 202,676 = 202,676 : x
  2. Step 2: Convert to fraction form
    93,502/202,676 = 202,676/x
  3. Step 3: Cross multiply
    93,502x = 202,676 × 202,676
  4. Step 4: Simplify right side
    93,502x = 41,077,560,976
  5. Step 5: Solve for x
    x = 41,077,560,976/93,502
  6. Step 6: Final answer
    x = 439,322.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.