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Finding the Third Proportional to 199,340 and 308,974

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Solution

The third proportional to 199,340 and 308,974 is: 478,905.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,340 : 308,974 = 308,974 : x
  2. Step 2: Convert to fraction form
    199,340/308,974 = 308,974/x
  3. Step 3: Cross multiply
    199,340x = 308,974 × 308,974
  4. Step 4: Simplify right side
    199,340x = 95,464,932,676
  5. Step 5: Solve for x
    x = 95,464,932,676/199,340
  6. Step 6: Final answer
    x = 478,905.05

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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.