Home / 872.50-1,824.50

Finding the Third Proportional to 872.50 and 1,824.50

Calculator

Solution

The third proportional to 872.50 and 1,824.50 is: 3,815.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.50 : 1,824.50 = 1,824.50 : x
  2. Step 2: Convert to fraction form
    872.50/1,824.50 = 1,824.50/x
  3. Step 3: Cross multiply
    872.50x = 1,824.50 × 1,824.50
  4. Step 4: Simplify right side
    872.50x = 3,328,800.25
  5. Step 5: Solve for x
    x = 3,328,800.25/872.50
  6. Step 6: Final answer
    x = 3,815.24

Related Problems

Find third proportional to 436.25 and 912.25
Half scale
Find third proportional to 1,745 and 3,649
Double scale
Find third proportional to 875 and 1,829
Similar ratio
Find third proportional to 1,308.75 and 2,736.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.