Home / 774-849

Finding the Third Proportional to 774 and 849

Calculator

Solution

The third proportional to 774 and 849 is: 931.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    774 : 849 = 849 : x
  2. Step 2: Convert to fraction form
    774/849 = 849/x
  3. Step 3: Cross multiply
    774x = 849 × 849
  4. Step 4: Simplify right side
    774x = 720,801
  5. Step 5: Solve for x
    x = 720,801/774
  6. Step 6: Final answer
    x = 931.27

Related Problems

Find third proportional to 387 and 424.50
Half scale
Find third proportional to 1,548 and 1,698
Double scale
Find third proportional to 776 and 851
Similar ratio
Find third proportional to 1,161 and 1,273.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.