Home / 757-838

Finding the Third Proportional to 757 and 838

Calculator

Solution

The third proportional to 757 and 838 is: 927.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    757 : 838 = 838 : x
  2. Step 2: Convert to fraction form
    757/838 = 838/x
  3. Step 3: Cross multiply
    757x = 838 × 838
  4. Step 4: Simplify right side
    757x = 702,244
  5. Step 5: Solve for x
    x = 702,244/757
  6. Step 6: Final answer
    x = 927.67

Related Problems

Find third proportional to 378.50 and 419
Half scale
Find third proportional to 1,514 and 1,676
Double scale
Find third proportional to 759 and 840
Similar ratio
Find third proportional to 1,135.50 and 1,257
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.