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Finding the Third Proportional to 319,438 and 683,198

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Solution

The third proportional to 319,438 and 683,198 is: 1,461,189.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,438 : 683,198 = 683,198 : x
  2. Step 2: Convert to fraction form
    319,438/683,198 = 683,198/x
  3. Step 3: Cross multiply
    319,438x = 683,198 × 683,198
  4. Step 4: Simplify right side
    319,438x = 466,759,507,204
  5. Step 5: Solve for x
    x = 466,759,507,204/319,438
  6. Step 6: Final answer
    x = 1,461,189.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.