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Finding the Third Proportional to 93,880 and 195,526

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Solution

The third proportional to 93,880 and 195,526 is: 407,226.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,880 : 195,526 = 195,526 : x
  2. Step 2: Convert to fraction form
    93,880/195,526 = 195,526/x
  3. Step 3: Cross multiply
    93,880x = 195,526 × 195,526
  4. Step 4: Simplify right side
    93,880x = 38,230,416,676
  5. Step 5: Solve for x
    x = 38,230,416,676/93,880
  6. Step 6: Final answer
    x = 407,226.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.