Home / 1,038-1,411

Finding the Third Proportional to 1,038 and 1,411

Calculator

Solution

The third proportional to 1,038 and 1,411 is: 1,918.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038 : 1,411 = 1,411 : x
  2. Step 2: Convert to fraction form
    1,038/1,411 = 1,411/x
  3. Step 3: Cross multiply
    1,038x = 1,411 × 1,411
  4. Step 4: Simplify right side
    1,038x = 1,990,921
  5. Step 5: Solve for x
    x = 1,990,921/1,038
  6. Step 6: Final answer
    x = 1,918.04

Related Problems

Find third proportional to 519 and 705.50
Half scale
Find third proportional to 2,076 and 2,822
Double scale
Find third proportional to 1,040 and 1,414
Similar ratio
Find third proportional to 1,557 and 2,116.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.