Home / 1,742-4,091

Finding the Third Proportional to 1,742 and 4,091

Calculator

Solution

The third proportional to 1,742 and 4,091 is: 9,607.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742 : 4,091 = 4,091 : x
  2. Step 2: Convert to fraction form
    1,742/4,091 = 4,091/x
  3. Step 3: Cross multiply
    1,742x = 4,091 × 4,091
  4. Step 4: Simplify right side
    1,742x = 16,736,281
  5. Step 5: Solve for x
    x = 16,736,281/1,742
  6. Step 6: Final answer
    x = 9,607.51

Related Problems

Find third proportional to 871 and 2,045.50
Half scale
Find third proportional to 3,484 and 8,182
Double scale
Find third proportional to 1,744 and 4,096
Similar ratio
Find third proportional to 2,613 and 6,136.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.