Home / 756.84-1,971.84

Finding the Third Proportional to 756.84 and 1,971.84

Calculator

Solution

The third proportional to 756.84 and 1,971.84 is: 5,137.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.84 : 1,971.84 = 1,971.84 : x
  2. Step 2: Convert to fraction form
    756.84/1,971.84 = 1,971.84/x
  3. Step 3: Cross multiply
    756.84x = 1,971.84 × 1,971.84
  4. Step 4: Simplify right side
    756.84x = 3,888,167.77
  5. Step 5: Solve for x
    x = 3,888,167.77/756.84
  6. Step 6: Final answer
    x = 5,137.35

Related Problems

Find third proportional to 378.42 and 985.92
Half scale
Find third proportional to 1,513.69 and 3,943.69
Double scale
Find third proportional to 759 and 1,977
Similar ratio
Find third proportional to 1,135.27 and 2,957.77
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.