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Finding the Third Proportional to 311,760 and 669,852

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Solution

The third proportional to 311,760 and 669,852 is: 1,439,253.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,760 : 669,852 = 669,852 : x
  2. Step 2: Convert to fraction form
    311,760/669,852 = 669,852/x
  3. Step 3: Cross multiply
    311,760x = 669,852 × 669,852
  4. Step 4: Simplify right side
    311,760x = 448,701,701,904
  5. Step 5: Solve for x
    x = 448,701,701,904/311,760
  6. Step 6: Final answer
    x = 1,439,253.60

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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.