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Finding the Third Proportional to 93,888 and 200,112

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Solution

The third proportional to 93,888 and 200,112 is: 426,516.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,888 : 200,112 = 200,112 : x
  2. Step 2: Convert to fraction form
    93,888/200,112 = 200,112/x
  3. Step 3: Cross multiply
    93,888x = 200,112 × 200,112
  4. Step 4: Simplify right side
    93,888x = 40,044,812,544
  5. Step 5: Solve for x
    x = 40,044,812,544/93,888
  6. Step 6: Final answer
    x = 426,516.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.