Home / 948-1,580

Finding the Third Proportional to 948 and 1,580

Calculator

Solution

The third proportional to 948 and 1,580 is: 2,633.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    948 : 1,580 = 1,580 : x
  2. Step 2: Convert to fraction form
    948/1,580 = 1,580/x
  3. Step 3: Cross multiply
    948x = 1,580 × 1,580
  4. Step 4: Simplify right side
    948x = 2,496,400
  5. Step 5: Solve for x
    x = 2,496,400/948
  6. Step 6: Final answer
    x = 2,633.33

Related Problems

Find third proportional to 474 and 790
Half scale
Find third proportional to 1,896 and 3,160
Double scale
Find third proportional to 950 and 1,583
Similar ratio
Find third proportional to 1,422 and 2,370
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.