Home / 338-473.75

Finding the Third Proportional to 338 and 473.75

Calculator

Solution

The third proportional to 338 and 473.75 is: 664.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    338 : 473.75 = 473.75 : x
  2. Step 2: Convert to fraction form
    338/473.75 = 473.75/x
  3. Step 3: Cross multiply
    338x = 473.75 × 473.75
  4. Step 4: Simplify right side
    338x = 224,439.06
  5. Step 5: Solve for x
    x = 224,439.06/338
  6. Step 6: Final answer
    x = 664.02

Related Problems

Find third proportional to 169 and 236.88
Half scale
Find third proportional to 676 and 947.50
Double scale
Find third proportional to 340 and 477
Similar ratio
Find third proportional to 507 and 710.63
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.