Home / 411-946.50

Finding the Third Proportional to 411 and 946.50

Calculator

Solution

The third proportional to 411 and 946.50 is: 2,179.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    411 : 946.50 = 946.50 : x
  2. Step 2: Convert to fraction form
    411/946.50 = 946.50/x
  3. Step 3: Cross multiply
    411x = 946.50 × 946.50
  4. Step 4: Simplify right side
    411x = 895,862.25
  5. Step 5: Solve for x
    x = 895,862.25/411
  6. Step 6: Final answer
    x = 2,179.71

Related Problems

Find third proportional to 205.50 and 473.25
Half scale
Find third proportional to 822 and 1,893
Double scale
Find third proportional to 413 and 951
Similar ratio
Find third proportional to 616.50 and 1,419.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.