Home / 582.19-813.94

Finding the Third Proportional to 582.19 and 813.94

Calculator

Solution

The third proportional to 582.19 and 813.94 is: 1,137.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.19 : 813.94 = 813.94 : x
  2. Step 2: Convert to fraction form
    582.19/813.94 = 813.94/x
  3. Step 3: Cross multiply
    582.19x = 813.94 × 813.94
  4. Step 4: Simplify right side
    582.19x = 662,494.25
  5. Step 5: Solve for x
    x = 662,494.25/582.19
  6. Step 6: Final answer
    x = 1,137.94

Related Problems

Find third proportional to 291.09 and 406.97
Half scale
Find third proportional to 1,164.38 and 1,627.88
Double scale
Find third proportional to 584 and 817
Similar ratio
Find third proportional to 873.28 and 1,220.91
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.