Home / 135,914-209,931

Finding the Third Proportional to 135,914 and 209,931

Calculator

Solution

The third proportional to 135,914 and 209,931 is: 324,256.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,914 : 209,931 = 209,931 : x
  2. Step 2: Convert to fraction form
    135,914/209,931 = 209,931/x
  3. Step 3: Cross multiply
    135,914x = 209,931 × 209,931
  4. Step 4: Simplify right side
    135,914x = 44,071,024,761
  5. Step 5: Solve for x
    x = 44,071,024,761/135,914
  6. Step 6: Final answer
    x = 324,256.70

Related Problems

Find third proportional to 67,957 and 104,965.50
Half scale
Find third proportional to 271,828 and 419,862
Double scale
Find third proportional to 135,916 and 209,934
Similar ratio
Find third proportional to 203,871 and 314,896.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.