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Finding the Third Proportional to 203,678 and 308,138

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Solution

The third proportional to 203,678 and 308,138 is: 466,172.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,678 : 308,138 = 308,138 : x
  2. Step 2: Convert to fraction form
    203,678/308,138 = 308,138/x
  3. Step 3: Cross multiply
    203,678x = 308,138 × 308,138
  4. Step 4: Simplify right side
    203,678x = 94,949,027,044
  5. Step 5: Solve for x
    x = 94,949,027,044/203,678
  6. Step 6: Final answer
    x = 466,172.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.