Home / 234-624

Finding the Third Proportional to 234 and 624

Calculator

Solution

The third proportional to 234 and 624 is: 1,664

Step by Step Solution

  1. Step 1: Write the proportion equation
    234 : 624 = 624 : x
  2. Step 2: Convert to fraction form
    234/624 = 624/x
  3. Step 3: Cross multiply
    234x = 624 × 624
  4. Step 4: Simplify right side
    234x = 389,376
  5. Step 5: Solve for x
    x = 389,376/234
  6. Step 6: Final answer
    x = 1,664

Related Problems

Find third proportional to 117 and 312
Half scale
Find third proportional to 468 and 1,248
Double scale
Find third proportional to 236 and 629
Similar ratio
Find third proportional to 351 and 936
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.