Home / 1,829-2,688.50

Finding the Third Proportional to 1,829 and 2,688.50

Calculator

Solution

The third proportional to 1,829 and 2,688.50 is: 3,951.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829 : 2,688.50 = 2,688.50 : x
  2. Step 2: Convert to fraction form
    1,829/2,688.50 = 2,688.50/x
  3. Step 3: Cross multiply
    1,829x = 2,688.50 × 2,688.50
  4. Step 4: Simplify right side
    1,829x = 7,228,032.25
  5. Step 5: Solve for x
    x = 7,228,032.25/1,829
  6. Step 6: Final answer
    x = 3,951.90

Related Problems

Find third proportional to 914.50 and 1,344.25
Half scale
Find third proportional to 3,658 and 5,377
Double scale
Find third proportional to 1,831 and 2,691
Similar ratio
Find third proportional to 2,743.50 and 4,032.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.