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Finding the Third Proportional to 318,104 and 679,264

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Solution

The third proportional to 318,104 and 679,264 is: 1,450,467.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,104 : 679,264 = 679,264 : x
  2. Step 2: Convert to fraction form
    318,104/679,264 = 679,264/x
  3. Step 3: Cross multiply
    318,104x = 679,264 × 679,264
  4. Step 4: Simplify right side
    318,104x = 461,399,581,696
  5. Step 5: Solve for x
    x = 461,399,581,696/318,104
  6. Step 6: Final answer
    x = 1,450,467.71

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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.