Home / 65,824-101,952

Finding the Third Proportional to 65,824 and 101,952

Calculator

Solution

The third proportional to 65,824 and 101,952 is: 157,909.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,824 : 101,952 = 101,952 : x
  2. Step 2: Convert to fraction form
    65,824/101,952 = 101,952/x
  3. Step 3: Cross multiply
    65,824x = 101,952 × 101,952
  4. Step 4: Simplify right side
    65,824x = 10,394,210,304
  5. Step 5: Solve for x
    x = 10,394,210,304/65,824
  6. Step 6: Final answer
    x = 157,909.13

Related Problems

Find third proportional to 32,912 and 50,976
Half scale
Find third proportional to 131,648 and 203,904
Double scale
Find third proportional to 65,826 and 101,955
Similar ratio
Find third proportional to 98,736 and 152,928
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.