Home / 1,400-1,670

Finding the Third Proportional to 1,400 and 1,670

Calculator

Solution

The third proportional to 1,400 and 1,670 is: 1,992.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400 : 1,670 = 1,670 : x
  2. Step 2: Convert to fraction form
    1,400/1,670 = 1,670/x
  3. Step 3: Cross multiply
    1,400x = 1,670 × 1,670
  4. Step 4: Simplify right side
    1,400x = 2,788,900
  5. Step 5: Solve for x
    x = 2,788,900/1,400
  6. Step 6: Final answer
    x = 1,992.07

Related Problems

Find third proportional to 700 and 835
Half scale
Find third proportional to 2,800 and 3,340
Double scale
Find third proportional to 1,402 and 1,672
Similar ratio
Find third proportional to 2,100 and 2,505
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.