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Finding the Third Proportional to 318,933 and 683,658

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Solution

The third proportional to 318,933 and 683,658 is: 1,465,474.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,933 : 683,658 = 683,658 : x
  2. Step 2: Convert to fraction form
    318,933/683,658 = 683,658/x
  3. Step 3: Cross multiply
    318,933x = 683,658 × 683,658
  4. Step 4: Simplify right side
    318,933x = 467,388,260,964
  5. Step 5: Solve for x
    x = 467,388,260,964/318,933
  6. Step 6: Final answer
    x = 1,465,474.76

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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.