Home / 234-423

Finding the Third Proportional to 234 and 423

Calculator

Solution

The third proportional to 234 and 423 is: 764.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    234 : 423 = 423 : x
  2. Step 2: Convert to fraction form
    234/423 = 423/x
  3. Step 3: Cross multiply
    234x = 423 × 423
  4. Step 4: Simplify right side
    234x = 178,929
  5. Step 5: Solve for x
    x = 178,929/234
  6. Step 6: Final answer
    x = 764.65

Related Problems

Find third proportional to 117 and 211.50
Half scale
Find third proportional to 468 and 846
Double scale
Find third proportional to 236 and 427
Similar ratio
Find third proportional to 351 and 634.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.