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Finding the Third Proportional to 198,081 and 306,846

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Solution

The third proportional to 198,081 and 306,846 is: 475,333.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,081 : 306,846 = 306,846 : x
  2. Step 2: Convert to fraction form
    198,081/306,846 = 306,846/x
  3. Step 3: Cross multiply
    198,081x = 306,846 × 306,846
  4. Step 4: Simplify right side
    198,081x = 94,154,467,716
  5. Step 5: Solve for x
    x = 94,154,467,716/198,081
  6. Step 6: Final answer
    x = 475,333.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.