Home / 1,020-1,124

Finding the Third Proportional to 1,020 and 1,124

Calculator

Solution

The third proportional to 1,020 and 1,124 is: 1,238.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020 : 1,124 = 1,124 : x
  2. Step 2: Convert to fraction form
    1,020/1,124 = 1,124/x
  3. Step 3: Cross multiply
    1,020x = 1,124 × 1,124
  4. Step 4: Simplify right side
    1,020x = 1,263,376
  5. Step 5: Solve for x
    x = 1,263,376/1,020
  6. Step 6: Final answer
    x = 1,238.60

Related Problems

Find third proportional to 510 and 562
Half scale
Find third proportional to 2,040 and 2,248
Double scale
Find third proportional to 1,022 and 1,126
Similar ratio
Find third proportional to 1,530 and 1,686
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.