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Finding the Third Proportional to 92,106 and 198,306

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Solution

The third proportional to 92,106 and 198,306 is: 426,956.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,106 : 198,306 = 198,306 : x
  2. Step 2: Convert to fraction form
    92,106/198,306 = 198,306/x
  3. Step 3: Cross multiply
    92,106x = 198,306 × 198,306
  4. Step 4: Simplify right side
    92,106x = 39,325,269,636
  5. Step 5: Solve for x
    x = 39,325,269,636/92,106
  6. Step 6: Final answer
    x = 426,956.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.