Home / 284-692

Finding the Third Proportional to 284 and 692

Calculator

Solution

The third proportional to 284 and 692 is: 1,686.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    284 : 692 = 692 : x
  2. Step 2: Convert to fraction form
    284/692 = 692/x
  3. Step 3: Cross multiply
    284x = 692 × 692
  4. Step 4: Simplify right side
    284x = 478,864
  5. Step 5: Solve for x
    x = 478,864/284
  6. Step 6: Final answer
    x = 1,686.14

Related Problems

Find third proportional to 142 and 346
Half scale
Find third proportional to 568 and 1,384
Double scale
Find third proportional to 286 and 697
Similar ratio
Find third proportional to 426 and 1,038
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.