Home / 1,024-1,572

Finding the Third Proportional to 1,024 and 1,572

Calculator

Solution

The third proportional to 1,024 and 1,572 is: 2,413.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024 : 1,572 = 1,572 : x
  2. Step 2: Convert to fraction form
    1,024/1,572 = 1,572/x
  3. Step 3: Cross multiply
    1,024x = 1,572 × 1,572
  4. Step 4: Simplify right side
    1,024x = 2,471,184
  5. Step 5: Solve for x
    x = 2,471,184/1,024
  6. Step 6: Final answer
    x = 2,413.27

Related Problems

Find third proportional to 512 and 786
Half scale
Find third proportional to 2,048 and 3,144
Double scale
Find third proportional to 1,026 and 1,575
Similar ratio
Find third proportional to 1,536 and 2,358
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.