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Finding the Third Proportional to 100,586 and 198,628

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Solution

The third proportional to 100,586 and 198,628 is: 392,232.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,586 : 198,628 = 198,628 : x
  2. Step 2: Convert to fraction form
    100,586/198,628 = 198,628/x
  3. Step 3: Cross multiply
    100,586x = 198,628 × 198,628
  4. Step 4: Simplify right side
    100,586x = 39,453,082,384
  5. Step 5: Solve for x
    x = 39,453,082,384/100,586
  6. Step 6: Final answer
    x = 392,232.34

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.