Home / 304-456

Finding the Third Proportional to 304 and 456

Calculator

Solution

The third proportional to 304 and 456 is: 684

Step by Step Solution

  1. Step 1: Write the proportion equation
    304 : 456 = 456 : x
  2. Step 2: Convert to fraction form
    304/456 = 456/x
  3. Step 3: Cross multiply
    304x = 456 × 456
  4. Step 4: Simplify right side
    304x = 207,936
  5. Step 5: Solve for x
    x = 207,936/304
  6. Step 6: Final answer
    x = 684

Related Problems

Find third proportional to 152 and 228
Half scale
Find third proportional to 608 and 912
Double scale
Find third proportional to 306 and 459
Similar ratio
Find third proportional to 456 and 684
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.