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Finding the Third Proportional to 93,613 and 203,099

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Solution

The third proportional to 93,613 and 203,099 is: 440,635.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,613 : 203,099 = 203,099 : x
  2. Step 2: Convert to fraction form
    93,613/203,099 = 203,099/x
  3. Step 3: Cross multiply
    93,613x = 203,099 × 203,099
  4. Step 4: Simplify right side
    93,613x = 41,249,203,801
  5. Step 5: Solve for x
    x = 41,249,203,801/93,613
  6. Step 6: Final answer
    x = 440,635.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.