Home / 1,662-3,461

Finding the Third Proportional to 1,662 and 3,461

Calculator

Solution

The third proportional to 1,662 and 3,461 is: 7,207.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662 : 3,461 = 3,461 : x
  2. Step 2: Convert to fraction form
    1,662/3,461 = 3,461/x
  3. Step 3: Cross multiply
    1,662x = 3,461 × 3,461
  4. Step 4: Simplify right side
    1,662x = 11,978,521
  5. Step 5: Solve for x
    x = 11,978,521/1,662
  6. Step 6: Final answer
    x = 7,207.29

Related Problems

Find third proportional to 831 and 1,730.50
Half scale
Find third proportional to 3,324 and 6,922
Double scale
Find third proportional to 1,664 and 3,465
Similar ratio
Find third proportional to 2,493 and 5,191.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.