Home / 678-969

Finding the Third Proportional to 678 and 969

Calculator

Solution

The third proportional to 678 and 969 is: 1,384.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    678 : 969 = 969 : x
  2. Step 2: Convert to fraction form
    678/969 = 969/x
  3. Step 3: Cross multiply
    678x = 969 × 969
  4. Step 4: Simplify right side
    678x = 938,961
  5. Step 5: Solve for x
    x = 938,961/678
  6. Step 6: Final answer
    x = 1,384.90

Related Problems

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.