Home / 135,085-312,724

Finding the Third Proportional to 135,085 and 312,724

Calculator

Solution

The third proportional to 135,085 and 312,724 is: 723,961.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,085 : 312,724 = 312,724 : x
  2. Step 2: Convert to fraction form
    135,085/312,724 = 312,724/x
  3. Step 3: Cross multiply
    135,085x = 312,724 × 312,724
  4. Step 4: Simplify right side
    135,085x = 97,796,300,176
  5. Step 5: Solve for x
    x = 97,796,300,176/135,085
  6. Step 6: Final answer
    x = 723,961.21

Related Problems

Find third proportional to 67,542.50 and 156,362
Half scale
Find third proportional to 270,170 and 625,448
Double scale
Find third proportional to 135,087 and 312,729
Similar ratio
Find third proportional to 202,627.50 and 469,086
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.