Home / 729.75-1,601.06

Finding the Third Proportional to 729.75 and 1,601.06

Calculator

Solution

The third proportional to 729.75 and 1,601.06 is: 3,512.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.75 : 1,601.06 = 1,601.06 : x
  2. Step 2: Convert to fraction form
    729.75/1,601.06 = 1,601.06/x
  3. Step 3: Cross multiply
    729.75x = 1,601.06 × 1,601.06
  4. Step 4: Simplify right side
    729.75x = 2,563,401.13
  5. Step 5: Solve for x
    x = 2,563,401.13/729.75
  6. Step 6: Final answer
    x = 3,512.71

Related Problems

Find third proportional to 364.88 and 800.53
Half scale
Find third proportional to 1,459.50 and 3,202.13
Double scale
Find third proportional to 732 and 1,605
Similar ratio
Find third proportional to 1,094.63 and 2,401.59
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.