Home / 417.50-838

Finding the Third Proportional to 417.50 and 838

Calculator

Solution

The third proportional to 417.50 and 838 is: 1,682.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.50 : 838 = 838 : x
  2. Step 2: Convert to fraction form
    417.50/838 = 838/x
  3. Step 3: Cross multiply
    417.50x = 838 × 838
  4. Step 4: Simplify right side
    417.50x = 702,244
  5. Step 5: Solve for x
    x = 702,244/417.50
  6. Step 6: Final answer
    x = 1,682.02

Related Problems

Find third proportional to 208.75 and 419
Half scale
Find third proportional to 835 and 1,676
Double scale
Find third proportional to 420 and 842
Similar ratio
Find third proportional to 626.25 and 1,257
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.