Home / 498-729

Finding the Third Proportional to 498 and 729

Calculator

Solution

The third proportional to 498 and 729 is: 1,067.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    498 : 729 = 729 : x
  2. Step 2: Convert to fraction form
    498/729 = 729/x
  3. Step 3: Cross multiply
    498x = 729 × 729
  4. Step 4: Simplify right side
    498x = 531,441
  5. Step 5: Solve for x
    x = 531,441/498
  6. Step 6: Final answer
    x = 1,067.15

Related Problems

Find third proportional to 249 and 364.50
Half scale
Find third proportional to 996 and 1,458
Double scale
Find third proportional to 500 and 732
Similar ratio
Find third proportional to 747 and 1,093.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.