Home / 621.50-824.50

Finding the Third Proportional to 621.50 and 824.50

Calculator

Solution

The third proportional to 621.50 and 824.50 is: 1,093.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.50 : 824.50 = 824.50 : x
  2. Step 2: Convert to fraction form
    621.50/824.50 = 824.50/x
  3. Step 3: Cross multiply
    621.50x = 824.50 × 824.50
  4. Step 4: Simplify right side
    621.50x = 679,800.25
  5. Step 5: Solve for x
    x = 679,800.25/621.50
  6. Step 6: Final answer
    x = 1,093.81

Related Problems

Find third proportional to 310.75 and 412.25
Half scale
Find third proportional to 1,243 and 1,649
Double scale
Find third proportional to 624 and 827
Similar ratio
Find third proportional to 932.25 and 1,236.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.