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Finding the Third Proportional to 311,763 and 669,858

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Solution

The third proportional to 311,763 and 669,858 is: 1,439,265.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,763 : 669,858 = 669,858 : x
  2. Step 2: Convert to fraction form
    311,763/669,858 = 669,858/x
  3. Step 3: Cross multiply
    311,763x = 669,858 × 669,858
  4. Step 4: Simplify right side
    311,763x = 448,709,740,164
  5. Step 5: Solve for x
    x = 448,709,740,164/311,763
  6. Step 6: Final answer
    x = 1,439,265.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.