Home / 428-590

Finding the Third Proportional to 428 and 590

Calculator

Solution

The third proportional to 428 and 590 is: 813.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    428 : 590 = 590 : x
  2. Step 2: Convert to fraction form
    428/590 = 590/x
  3. Step 3: Cross multiply
    428x = 590 × 590
  4. Step 4: Simplify right side
    428x = 348,100
  5. Step 5: Solve for x
    x = 348,100/428
  6. Step 6: Final answer
    x = 813.32

Related Problems

Find third proportional to 214 and 295
Half scale
Find third proportional to 856 and 1,180
Double scale
Find third proportional to 430 and 593
Similar ratio
Find third proportional to 642 and 885
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.