Home / 682.38-1,506

Finding the Third Proportional to 682.38 and 1,506

Calculator

Solution

The third proportional to 682.38 and 1,506 is: 3,323.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.38 : 1,506 = 1,506 : x
  2. Step 2: Convert to fraction form
    682.38/1,506 = 1,506/x
  3. Step 3: Cross multiply
    682.38x = 1,506 × 1,506
  4. Step 4: Simplify right side
    682.38x = 2,268,036
  5. Step 5: Solve for x
    x = 2,268,036/682.38
  6. Step 6: Final answer
    x = 3,323.74

Related Problems

Find third proportional to 341.19 and 753
Half scale
Find third proportional to 1,364.75 and 3,012
Double scale
Find third proportional to 684 and 1,510
Similar ratio
Find third proportional to 1,023.56 and 2,259
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.