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Finding the Third Proportional to 93,800 and 200,722

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Solution

The third proportional to 93,800 and 200,722 is: 429,523.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,800 : 200,722 = 200,722 : x
  2. Step 2: Convert to fraction form
    93,800/200,722 = 200,722/x
  3. Step 3: Cross multiply
    93,800x = 200,722 × 200,722
  4. Step 4: Simplify right side
    93,800x = 40,289,321,284
  5. Step 5: Solve for x
    x = 40,289,321,284/93,800
  6. Step 6: Final answer
    x = 429,523.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.