Home / 402-519.50

Finding the Third Proportional to 402 and 519.50

Calculator

Solution

The third proportional to 402 and 519.50 is: 671.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    402 : 519.50 = 519.50 : x
  2. Step 2: Convert to fraction form
    402/519.50 = 519.50/x
  3. Step 3: Cross multiply
    402x = 519.50 × 519.50
  4. Step 4: Simplify right side
    402x = 269,880.25
  5. Step 5: Solve for x
    x = 269,880.25/402
  6. Step 6: Final answer
    x = 671.34

Related Problems

Find third proportional to 201 and 259.75
Half scale
Find third proportional to 804 and 1,039
Double scale
Find third proportional to 404 and 522
Similar ratio
Find third proportional to 603 and 779.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.