Home / 71,408-106,896

Finding the Third Proportional to 71,408 and 106,896

Calculator

Solution

The third proportional to 71,408 and 106,896 is: 160,020.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,408 : 106,896 = 106,896 : x
  2. Step 2: Convert to fraction form
    71,408/106,896 = 106,896/x
  3. Step 3: Cross multiply
    71,408x = 106,896 × 106,896
  4. Step 4: Simplify right side
    71,408x = 11,426,754,816
  5. Step 5: Solve for x
    x = 11,426,754,816/71,408
  6. Step 6: Final answer
    x = 160,020.65

Related Problems

Find third proportional to 35,704 and 53,448
Half scale
Find third proportional to 142,816 and 213,792
Double scale
Find third proportional to 71,410 and 106,899
Similar ratio
Find third proportional to 107,112 and 160,344
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.