Home / 1,048-1,580

Finding the Third Proportional to 1,048 and 1,580

Calculator

Solution

The third proportional to 1,048 and 1,580 is: 2,382.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048 : 1,580 = 1,580 : x
  2. Step 2: Convert to fraction form
    1,048/1,580 = 1,580/x
  3. Step 3: Cross multiply
    1,048x = 1,580 × 1,580
  4. Step 4: Simplify right side
    1,048x = 2,496,400
  5. Step 5: Solve for x
    x = 2,496,400/1,048
  6. Step 6: Final answer
    x = 2,382.06

Related Problems

Find third proportional to 524 and 790
Half scale
Find third proportional to 2,096 and 3,160
Double scale
Find third proportional to 1,050 and 1,583
Similar ratio
Find third proportional to 1,572 and 2,370
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.