Home / 582-1,320

Finding the Third Proportional to 582 and 1,320

Calculator

Solution

The third proportional to 582 and 1,320 is: 2,993.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    582 : 1,320 = 1,320 : x
  2. Step 2: Convert to fraction form
    582/1,320 = 1,320/x
  3. Step 3: Cross multiply
    582x = 1,320 × 1,320
  4. Step 4: Simplify right side
    582x = 1,742,400
  5. Step 5: Solve for x
    x = 1,742,400/582
  6. Step 6: Final answer
    x = 2,993.81

Related Problems

Find third proportional to 291 and 660
Half scale
Find third proportional to 1,164 and 2,640
Double scale
Find third proportional to 584 and 1,325
Similar ratio
Find third proportional to 873 and 1,980
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.