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Finding the Third Proportional to 93,399 and 189,678

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Solution

The third proportional to 93,399 and 189,678 is: 385,204.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,399 : 189,678 = 189,678 : x
  2. Step 2: Convert to fraction form
    93,399/189,678 = 189,678/x
  3. Step 3: Cross multiply
    93,399x = 189,678 × 189,678
  4. Step 4: Simplify right side
    93,399x = 35,977,743,684
  5. Step 5: Solve for x
    x = 35,977,743,684/93,399
  6. Step 6: Final answer
    x = 385,204.81

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.