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Finding the Third Proportional to 93,489 and 204,108

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Solution

The third proportional to 93,489 and 204,108 is: 445,614.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,489 : 204,108 = 204,108 : x
  2. Step 2: Convert to fraction form
    93,489/204,108 = 204,108/x
  3. Step 3: Cross multiply
    93,489x = 204,108 × 204,108
  4. Step 4: Simplify right side
    93,489x = 41,660,075,664
  5. Step 5: Solve for x
    x = 41,660,075,664/93,489
  6. Step 6: Final answer
    x = 445,614.73

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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.