Home / 1,020-1,514

Finding the Third Proportional to 1,020 and 1,514

Calculator

Solution

The third proportional to 1,020 and 1,514 is: 2,247.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020 : 1,514 = 1,514 : x
  2. Step 2: Convert to fraction form
    1,020/1,514 = 1,514/x
  3. Step 3: Cross multiply
    1,020x = 1,514 × 1,514
  4. Step 4: Simplify right side
    1,020x = 2,292,196
  5. Step 5: Solve for x
    x = 2,292,196/1,020
  6. Step 6: Final answer
    x = 2,247.25

Related Problems

Find third proportional to 510 and 757
Half scale
Find third proportional to 2,040 and 3,028
Double scale
Find third proportional to 1,022 and 1,517
Similar ratio
Find third proportional to 1,530 and 2,271
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.