Home / 335.50-397

Finding the Third Proportional to 335.50 and 397

Calculator

Solution

The third proportional to 335.50 and 397 is: 469.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.50 : 397 = 397 : x
  2. Step 2: Convert to fraction form
    335.50/397 = 397/x
  3. Step 3: Cross multiply
    335.50x = 397 × 397
  4. Step 4: Simplify right side
    335.50x = 157,609
  5. Step 5: Solve for x
    x = 157,609/335.50
  6. Step 6: Final answer
    x = 469.77

Related Problems

Find third proportional to 167.75 and 198.50
Half scale
Find third proportional to 671 and 794
Double scale
Find third proportional to 338 and 399
Similar ratio
Find third proportional to 503.25 and 595.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.