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Finding the Third Proportional to 93,536 and 200,230

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Solution

The third proportional to 93,536 and 200,230 is: 428,626.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,536 : 200,230 = 200,230 : x
  2. Step 2: Convert to fraction form
    93,536/200,230 = 200,230/x
  3. Step 3: Cross multiply
    93,536x = 200,230 × 200,230
  4. Step 4: Simplify right side
    93,536x = 40,092,052,900
  5. Step 5: Solve for x
    x = 40,092,052,900/93,536
  6. Step 6: Final answer
    x = 428,626.98

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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.