Home / 456-519

Finding the Third Proportional to 456 and 519

Calculator

Solution

The third proportional to 456 and 519 is: 590.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    456 : 519 = 519 : x
  2. Step 2: Convert to fraction form
    456/519 = 519/x
  3. Step 3: Cross multiply
    456x = 519 × 519
  4. Step 4: Simplify right side
    456x = 269,361
  5. Step 5: Solve for x
    x = 269,361/456
  6. Step 6: Final answer
    x = 590.70

Related Problems

Find third proportional to 228 and 259.50
Half scale
Find third proportional to 912 and 1,038
Double scale
Find third proportional to 458 and 521
Similar ratio
Find third proportional to 684 and 778.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.