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Finding the Third Proportional to 318,930 and 683,652

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Solution

The third proportional to 318,930 and 683,652 is: 1,465,462.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,930 : 683,652 = 683,652 : x
  2. Step 2: Convert to fraction form
    318,930/683,652 = 683,652/x
  3. Step 3: Cross multiply
    318,930x = 683,652 × 683,652
  4. Step 4: Simplify right side
    318,930x = 467,380,057,104
  5. Step 5: Solve for x
    x = 467,380,057,104/318,930
  6. Step 6: Final answer
    x = 1,465,462.82

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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.