Home / 395-464

Finding the Third Proportional to 395 and 464

Calculator

Solution

The third proportional to 395 and 464 is: 545.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    395 : 464 = 464 : x
  2. Step 2: Convert to fraction form
    395/464 = 464/x
  3. Step 3: Cross multiply
    395x = 464 × 464
  4. Step 4: Simplify right side
    395x = 215,296
  5. Step 5: Solve for x
    x = 215,296/395
  6. Step 6: Final answer
    x = 545.05

Related Problems

Find third proportional to 197.50 and 232
Half scale
Find third proportional to 790 and 928
Double scale
Find third proportional to 397 and 466
Similar ratio
Find third proportional to 592.50 and 696
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.