Home / 830-1,942

Finding the Third Proportional to 830 and 1,942

Calculator

Solution

The third proportional to 830 and 1,942 is: 4,543.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    830 : 1,942 = 1,942 : x
  2. Step 2: Convert to fraction form
    830/1,942 = 1,942/x
  3. Step 3: Cross multiply
    830x = 1,942 × 1,942
  4. Step 4: Simplify right side
    830x = 3,771,364
  5. Step 5: Solve for x
    x = 3,771,364/830
  6. Step 6: Final answer
    x = 4,543.81

Related Problems

Find third proportional to 415 and 971
Half scale
Find third proportional to 1,660 and 3,884
Double scale
Find third proportional to 832 and 1,947
Similar ratio
Find third proportional to 1,245 and 2,913
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.