Home / 5,192-7,412

Finding the Third Proportional to 5,192 and 7,412

Calculator

Solution

The third proportional to 5,192 and 7,412 is: 10,581.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192 : 7,412 = 7,412 : x
  2. Step 2: Convert to fraction form
    5,192/7,412 = 7,412/x
  3. Step 3: Cross multiply
    5,192x = 7,412 × 7,412
  4. Step 4: Simplify right side
    5,192x = 54,937,744
  5. Step 5: Solve for x
    x = 54,937,744/5,192
  6. Step 6: Final answer
    x = 10,581.23

Related Problems

Find third proportional to 2,596 and 3,706
Half scale
Find third proportional to 10,384 and 14,824
Double scale
Find third proportional to 5,194 and 7,415
Similar ratio
Find third proportional to 7,788 and 11,118
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.