Home / 583-823.50

Finding the Third Proportional to 583 and 823.50

Calculator

Solution

The third proportional to 583 and 823.50 is: 1,163.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    583 : 823.50 = 823.50 : x
  2. Step 2: Convert to fraction form
    583/823.50 = 823.50/x
  3. Step 3: Cross multiply
    583x = 823.50 × 823.50
  4. Step 4: Simplify right side
    583x = 678,152.25
  5. Step 5: Solve for x
    x = 678,152.25/583
  6. Step 6: Final answer
    x = 1,163.21

Related Problems

Find third proportional to 291.50 and 411.75
Half scale
Find third proportional to 1,166 and 1,647
Double scale
Find third proportional to 585 and 826
Similar ratio
Find third proportional to 874.50 and 1,235.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.