Home / 1,284-2,946

Finding the Third Proportional to 1,284 and 2,946

Calculator

Solution

The third proportional to 1,284 and 2,946 is: 6,759.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284 : 2,946 = 2,946 : x
  2. Step 2: Convert to fraction form
    1,284/2,946 = 2,946/x
  3. Step 3: Cross multiply
    1,284x = 2,946 × 2,946
  4. Step 4: Simplify right side
    1,284x = 8,678,916
  5. Step 5: Solve for x
    x = 8,678,916/1,284
  6. Step 6: Final answer
    x = 6,759.28

Related Problems

Find third proportional to 642 and 1,473
Half scale
Find third proportional to 2,568 and 5,892
Double scale
Find third proportional to 1,286 and 2,951
Similar ratio
Find third proportional to 1,926 and 4,419
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.