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Finding the Third Proportional to 234,318 and 485,253

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Solution

The third proportional to 234,318 and 485,253 is: 1,004,918.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,318 : 485,253 = 485,253 : x
  2. Step 2: Convert to fraction form
    234,318/485,253 = 485,253/x
  3. Step 3: Cross multiply
    234,318x = 485,253 × 485,253
  4. Step 4: Simplify right side
    234,318x = 235,470,474,009
  5. Step 5: Solve for x
    x = 235,470,474,009/234,318
  6. Step 6: Final answer
    x = 1,004,918.42

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.