Home / 692-816

Finding the Third Proportional to 692 and 816

Calculator

Solution

The third proportional to 692 and 816 is: 962.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    692 : 816 = 816 : x
  2. Step 2: Convert to fraction form
    692/816 = 816/x
  3. Step 3: Cross multiply
    692x = 816 × 816
  4. Step 4: Simplify right side
    692x = 665,856
  5. Step 5: Solve for x
    x = 665,856/692
  6. Step 6: Final answer
    x = 962.22

Related Problems

Find third proportional to 346 and 408
Half scale
Find third proportional to 1,384 and 1,632
Double scale
Find third proportional to 694 and 818
Similar ratio
Find third proportional to 1,038 and 1,224
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.