Home / 1,670-2,166

Finding the Third Proportional to 1,670 and 2,166

Calculator

Solution

The third proportional to 1,670 and 2,166 is: 2,809.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670 : 2,166 = 2,166 : x
  2. Step 2: Convert to fraction form
    1,670/2,166 = 2,166/x
  3. Step 3: Cross multiply
    1,670x = 2,166 × 2,166
  4. Step 4: Simplify right side
    1,670x = 4,691,556
  5. Step 5: Solve for x
    x = 4,691,556/1,670
  6. Step 6: Final answer
    x = 2,809.31

Related Problems

Find third proportional to 835 and 1,083
Half scale
Find third proportional to 3,340 and 4,332
Double scale
Find third proportional to 1,672 and 2,169
Similar ratio
Find third proportional to 2,505 and 3,249
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.