Home / 428-492

Finding the Third Proportional to 428 and 492

Calculator

Solution

The third proportional to 428 and 492 is: 565.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    428 : 492 = 492 : x
  2. Step 2: Convert to fraction form
    428/492 = 492/x
  3. Step 3: Cross multiply
    428x = 492 × 492
  4. Step 4: Simplify right side
    428x = 242,064
  5. Step 5: Solve for x
    x = 242,064/428
  6. Step 6: Final answer
    x = 565.57

Related Problems

Find third proportional to 214 and 246
Half scale
Find third proportional to 856 and 984
Double scale
Find third proportional to 430 and 494
Similar ratio
Find third proportional to 642 and 738
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.