Home / 71,404-106,324

Finding the Third Proportional to 71,404 and 106,324

Calculator

Solution

The third proportional to 71,404 and 106,324 is: 158,321.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,404 : 106,324 = 106,324 : x
  2. Step 2: Convert to fraction form
    71,404/106,324 = 106,324/x
  3. Step 3: Cross multiply
    71,404x = 106,324 × 106,324
  4. Step 4: Simplify right side
    71,404x = 11,304,792,976
  5. Step 5: Solve for x
    x = 11,304,792,976/71,404
  6. Step 6: Final answer
    x = 158,321.56

Related Problems

Find third proportional to 35,702 and 53,162
Half scale
Find third proportional to 142,808 and 212,648
Double scale
Find third proportional to 71,406 and 106,327
Similar ratio
Find third proportional to 107,106 and 159,486
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.