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Finding the Third Proportional to 93,586.50 and 204,669

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Solution

The third proportional to 93,586.50 and 204,669 is: 447,600.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,586.50 : 204,669 = 204,669 : x
  2. Step 2: Convert to fraction form
    93,586.50/204,669 = 204,669/x
  3. Step 3: Cross multiply
    93,586.50x = 204,669 × 204,669
  4. Step 4: Simplify right side
    93,586.50x = 41,889,399,561
  5. Step 5: Solve for x
    x = 41,889,399,561/93,586.50
  6. Step 6: Final answer
    x = 447,600.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.