Home / 260-433

Finding the Third Proportional to 260 and 433

Calculator

Solution

The third proportional to 260 and 433 is: 721.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    260 : 433 = 433 : x
  2. Step 2: Convert to fraction form
    260/433 = 433/x
  3. Step 3: Cross multiply
    260x = 433 × 433
  4. Step 4: Simplify right side
    260x = 187,489
  5. Step 5: Solve for x
    x = 187,489/260
  6. Step 6: Final answer
    x = 721.11

Related Problems

Find third proportional to 130 and 216.50
Half scale
Find third proportional to 520 and 866
Double scale
Find third proportional to 262 and 436
Similar ratio
Find third proportional to 390 and 649.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.