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Finding the Third Proportional to 93,243 and 203,566

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Solution

The third proportional to 93,243 and 203,566 is: 444,420.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,243 : 203,566 = 203,566 : x
  2. Step 2: Convert to fraction form
    93,243/203,566 = 203,566/x
  3. Step 3: Cross multiply
    93,243x = 203,566 × 203,566
  4. Step 4: Simplify right side
    93,243x = 41,439,116,356
  5. Step 5: Solve for x
    x = 41,439,116,356/93,243
  6. Step 6: Final answer
    x = 444,420.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.