Home / 1,431-3,411

Finding the Third Proportional to 1,431 and 3,411

Calculator

Solution

The third proportional to 1,431 and 3,411 is: 8,130.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431 : 3,411 = 3,411 : x
  2. Step 2: Convert to fraction form
    1,431/3,411 = 3,411/x
  3. Step 3: Cross multiply
    1,431x = 3,411 × 3,411
  4. Step 4: Simplify right side
    1,431x = 11,634,921
  5. Step 5: Solve for x
    x = 11,634,921/1,431
  6. Step 6: Final answer
    x = 8,130.62

Related Problems

Find third proportional to 715.50 and 1,705.50
Half scale
Find third proportional to 2,862 and 6,822
Double scale
Find third proportional to 1,433 and 3,416
Similar ratio
Find third proportional to 2,146.50 and 5,116.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.