Home / 253-397

Finding the Third Proportional to 253 and 397

Calculator

Solution

The third proportional to 253 and 397 is: 622.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    253 : 397 = 397 : x
  2. Step 2: Convert to fraction form
    253/397 = 397/x
  3. Step 3: Cross multiply
    253x = 397 × 397
  4. Step 4: Simplify right side
    253x = 157,609
  5. Step 5: Solve for x
    x = 157,609/253
  6. Step 6: Final answer
    x = 622.96

Related Problems

Find third proportional to 126.50 and 198.50
Half scale
Find third proportional to 506 and 794
Double scale
Find third proportional to 255 and 400
Similar ratio
Find third proportional to 379.50 and 595.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.