Home / 672-729

Finding the Third Proportional to 672 and 729

Calculator

Solution

The third proportional to 672 and 729 is: 790.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    672 : 729 = 729 : x
  2. Step 2: Convert to fraction form
    672/729 = 729/x
  3. Step 3: Cross multiply
    672x = 729 × 729
  4. Step 4: Simplify right side
    672x = 531,441
  5. Step 5: Solve for x
    x = 531,441/672
  6. Step 6: Final answer
    x = 790.83

Related Problems

Find third proportional to 336 and 364.50
Half scale
Find third proportional to 1,344 and 1,458
Double scale
Find third proportional to 674 and 731
Similar ratio
Find third proportional to 1,008 and 1,093.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.