Home / 339-464

Finding the Third Proportional to 339 and 464

Calculator

Solution

The third proportional to 339 and 464 is: 635.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    339 : 464 = 464 : x
  2. Step 2: Convert to fraction form
    339/464 = 464/x
  3. Step 3: Cross multiply
    339x = 464 × 464
  4. Step 4: Simplify right side
    339x = 215,296
  5. Step 5: Solve for x
    x = 215,296/339
  6. Step 6: Final answer
    x = 635.09

Related Problems

Find third proportional to 169.50 and 232
Half scale
Find third proportional to 678 and 928
Double scale
Find third proportional to 341 and 467
Similar ratio
Find third proportional to 508.50 and 696
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.