Home / 776.75-1,683.50

Finding the Third Proportional to 776.75 and 1,683.50

Calculator

Solution

The third proportional to 776.75 and 1,683.50 is: 3,648.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.75 : 1,683.50 = 1,683.50 : x
  2. Step 2: Convert to fraction form
    776.75/1,683.50 = 1,683.50/x
  3. Step 3: Cross multiply
    776.75x = 1,683.50 × 1,683.50
  4. Step 4: Simplify right side
    776.75x = 2,834,172.25
  5. Step 5: Solve for x
    x = 2,834,172.25/776.75
  6. Step 6: Final answer
    x = 3,648.76

Related Problems

Find third proportional to 388.38 and 841.75
Half scale
Find third proportional to 1,553.50 and 3,367
Double scale
Find third proportional to 779 and 1,688
Similar ratio
Find third proportional to 1,165.13 and 2,525.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.