Home / 459.50-823

Finding the Third Proportional to 459.50 and 823

Calculator

Solution

The third proportional to 459.50 and 823 is: 1,474.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.50 : 823 = 823 : x
  2. Step 2: Convert to fraction form
    459.50/823 = 823/x
  3. Step 3: Cross multiply
    459.50x = 823 × 823
  4. Step 4: Simplify right side
    459.50x = 677,329
  5. Step 5: Solve for x
    x = 677,329/459.50
  6. Step 6: Final answer
    x = 1,474.06

Related Problems

Find third proportional to 229.75 and 411.50
Half scale
Find third proportional to 919 and 1,646
Double scale
Find third proportional to 462 and 827
Similar ratio
Find third proportional to 689.25 and 1,234.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.