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Finding the Third Proportional to 93,736.50 and 198,645.75

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Solution

The third proportional to 93,736.50 and 198,645.75 is: 420,968.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,736.50 : 198,645.75 = 198,645.75 : x
  2. Step 2: Convert to fraction form
    93,736.50/198,645.75 = 198,645.75/x
  3. Step 3: Cross multiply
    93,736.50x = 198,645.75 × 198,645.75
  4. Step 4: Simplify right side
    93,736.50x = 39,460,133,993.06
  5. Step 5: Solve for x
    x = 39,460,133,993.06/93,736.50
  6. Step 6: Final answer
    x = 420,968.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.