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Finding the Third Proportional to 309,504 and 669,696

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Solution

The third proportional to 309,504 and 669,696 is: 1,449,069.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,504 : 669,696 = 669,696 : x
  2. Step 2: Convert to fraction form
    309,504/669,696 = 669,696/x
  3. Step 3: Cross multiply
    309,504x = 669,696 × 669,696
  4. Step 4: Simplify right side
    309,504x = 448,492,732,416
  5. Step 5: Solve for x
    x = 448,492,732,416/309,504
  6. Step 6: Final answer
    x = 1,449,069.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.