Home / 920-1,012

Finding the Third Proportional to 920 and 1,012

Calculator

Solution

The third proportional to 920 and 1,012 is: 1,113.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    920 : 1,012 = 1,012 : x
  2. Step 2: Convert to fraction form
    920/1,012 = 1,012/x
  3. Step 3: Cross multiply
    920x = 1,012 × 1,012
  4. Step 4: Simplify right side
    920x = 1,024,144
  5. Step 5: Solve for x
    x = 1,024,144/920
  6. Step 6: Final answer
    x = 1,113.20

Related Problems

Find third proportional to 460 and 506
Half scale
Find third proportional to 1,840 and 2,024
Double scale
Find third proportional to 922 and 1,014
Similar ratio
Find third proportional to 1,380 and 1,518
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.