Home / 1,360-2,109

Finding the Third Proportional to 1,360 and 2,109

Calculator

Solution

The third proportional to 1,360 and 2,109 is: 3,270.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360 : 2,109 = 2,109 : x
  2. Step 2: Convert to fraction form
    1,360/2,109 = 2,109/x
  3. Step 3: Cross multiply
    1,360x = 2,109 × 2,109
  4. Step 4: Simplify right side
    1,360x = 4,447,881
  5. Step 5: Solve for x
    x = 4,447,881/1,360
  6. Step 6: Final answer
    x = 3,270.50

Related Problems

Find third proportional to 680 and 1,054.50
Half scale
Find third proportional to 2,720 and 4,218
Double scale
Find third proportional to 1,362 and 2,112
Similar ratio
Find third proportional to 2,040 and 3,163.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.