Home / 654-735

Finding the Third Proportional to 654 and 735

Calculator

Solution

The third proportional to 654 and 735 is: 826.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    654 : 735 = 735 : x
  2. Step 2: Convert to fraction form
    654/735 = 735/x
  3. Step 3: Cross multiply
    654x = 735 × 735
  4. Step 4: Simplify right side
    654x = 540,225
  5. Step 5: Solve for x
    x = 540,225/654
  6. Step 6: Final answer
    x = 826.03

Related Problems

Find third proportional to 327 and 367.50
Half scale
Find third proportional to 1,308 and 1,470
Double scale
Find third proportional to 656 and 737
Similar ratio
Find third proportional to 981 and 1,102.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.