Home / 1,706-1,838

Finding the Third Proportional to 1,706 and 1,838

Calculator

Solution

The third proportional to 1,706 and 1,838 is: 1,980.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706 : 1,838 = 1,838 : x
  2. Step 2: Convert to fraction form
    1,706/1,838 = 1,838/x
  3. Step 3: Cross multiply
    1,706x = 1,838 × 1,838
  4. Step 4: Simplify right side
    1,706x = 3,378,244
  5. Step 5: Solve for x
    x = 3,378,244/1,706
  6. Step 6: Final answer
    x = 1,980.21

Related Problems

Find third proportional to 853 and 919
Half scale
Find third proportional to 3,412 and 3,676
Double scale
Find third proportional to 1,708 and 1,840
Similar ratio
Find third proportional to 2,559 and 2,757
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.