Home / 678-1,064

Finding the Third Proportional to 678 and 1,064

Calculator

Solution

The third proportional to 678 and 1,064 is: 1,669.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    678 : 1,064 = 1,064 : x
  2. Step 2: Convert to fraction form
    678/1,064 = 1,064/x
  3. Step 3: Cross multiply
    678x = 1,064 × 1,064
  4. Step 4: Simplify right side
    678x = 1,132,096
  5. Step 5: Solve for x
    x = 1,132,096/678
  6. Step 6: Final answer
    x = 1,669.76

Related Problems

Find third proportional to 339 and 532
Half scale
Find third proportional to 1,356 and 2,128
Double scale
Find third proportional to 680 and 1,067
Similar ratio
Find third proportional to 1,017 and 1,596
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.