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Finding the Third Proportional to 199,324 and 308,949

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Solution

The third proportional to 199,324 and 308,949 is: 478,865.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,324 : 308,949 = 308,949 : x
  2. Step 2: Convert to fraction form
    199,324/308,949 = 308,949/x
  3. Step 3: Cross multiply
    199,324x = 308,949 × 308,949
  4. Step 4: Simplify right side
    199,324x = 95,449,484,601
  5. Step 5: Solve for x
    x = 95,449,484,601/199,324
  6. Step 6: Final answer
    x = 478,865.99

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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.