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Finding the Third Proportional to 309,696 and 679,104

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Solution

The third proportional to 309,696 and 679,104 is: 1,489,144.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,696 : 679,104 = 679,104 : x
  2. Step 2: Convert to fraction form
    309,696/679,104 = 679,104/x
  3. Step 3: Cross multiply
    309,696x = 679,104 × 679,104
  4. Step 4: Simplify right side
    309,696x = 461,182,242,816
  5. Step 5: Solve for x
    x = 461,182,242,816/309,696
  6. Step 6: Final answer
    x = 1,489,144.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.