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Finding the Third Proportional to 667,947 and 1,359,219

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Solution

The third proportional to 667,947 and 1,359,219 is: 2,765,902.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,947 : 1,359,219 = 1,359,219 : x
  2. Step 2: Convert to fraction form
    667,947/1,359,219 = 1,359,219/x
  3. Step 3: Cross multiply
    667,947x = 1,359,219 × 1,359,219
  4. Step 4: Simplify right side
    667,947x = 1,847,476,289,961
  5. Step 5: Solve for x
    x = 1,847,476,289,961/667,947
  6. Step 6: Final answer
    x = 2,765,902.52

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.