Home / 432-692

Finding the Third Proportional to 432 and 692

Calculator

Solution

The third proportional to 432 and 692 is: 1,108.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    432 : 692 = 692 : x
  2. Step 2: Convert to fraction form
    432/692 = 692/x
  3. Step 3: Cross multiply
    432x = 692 × 692
  4. Step 4: Simplify right side
    432x = 478,864
  5. Step 5: Solve for x
    x = 478,864/432
  6. Step 6: Final answer
    x = 1,108.48

Related Problems

Find third proportional to 216 and 346
Half scale
Find third proportional to 864 and 1,384
Double scale
Find third proportional to 434 and 695
Similar ratio
Find third proportional to 648 and 1,038
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.