Home / 830-1,683

Finding the Third Proportional to 830 and 1,683

Calculator

Solution

The third proportional to 830 and 1,683 is: 3,412.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    830 : 1,683 = 1,683 : x
  2. Step 2: Convert to fraction form
    830/1,683 = 1,683/x
  3. Step 3: Cross multiply
    830x = 1,683 × 1,683
  4. Step 4: Simplify right side
    830x = 2,832,489
  5. Step 5: Solve for x
    x = 2,832,489/830
  6. Step 6: Final answer
    x = 3,412.64

Related Problems

Find third proportional to 415 and 841.50
Half scale
Find third proportional to 1,660 and 3,366
Double scale
Find third proportional to 832 and 1,687
Similar ratio
Find third proportional to 1,245 and 2,524.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.