Home / 729-999

Finding the Third Proportional to 729 and 999

Calculator

Solution

The third proportional to 729 and 999 is: 1,369

Step by Step Solution

  1. Step 1: Write the proportion equation
    729 : 999 = 999 : x
  2. Step 2: Convert to fraction form
    729/999 = 999/x
  3. Step 3: Cross multiply
    729x = 999 × 999
  4. Step 4: Simplify right side
    729x = 998,001
  5. Step 5: Solve for x
    x = 998,001/729
  6. Step 6: Final answer
    x = 1,369

Related Problems

Find third proportional to 364.50 and 499.50
Half scale
Find third proportional to 1,458 and 1,998
Double scale
Find third proportional to 731 and 1,002
Similar ratio
Find third proportional to 1,093.50 and 1,498.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.