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Finding the Third Proportional to 309,508 and 669,704

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Solution

The third proportional to 309,508 and 669,704 is: 1,449,085.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,508 : 669,704 = 669,704 : x
  2. Step 2: Convert to fraction form
    309,508/669,704 = 669,704/x
  3. Step 3: Cross multiply
    309,508x = 669,704 × 669,704
  4. Step 4: Simplify right side
    309,508x = 448,503,447,616
  5. Step 5: Solve for x
    x = 448,503,447,616/309,508
  6. Step 6: Final answer
    x = 1,449,085.15

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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.