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Finding the Third Proportional to 203,906 and 310,355

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Solution

The third proportional to 203,906 and 310,355 is: 472,375.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,906 : 310,355 = 310,355 : x
  2. Step 2: Convert to fraction form
    203,906/310,355 = 310,355/x
  3. Step 3: Cross multiply
    203,906x = 310,355 × 310,355
  4. Step 4: Simplify right side
    203,906x = 96,320,226,025
  5. Step 5: Solve for x
    x = 96,320,226,025/203,906
  6. Step 6: Final answer
    x = 472,375.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.