Home / 65,084-135,316

Finding the Third Proportional to 65,084 and 135,316

Calculator

Solution

The third proportional to 65,084 and 135,316 is: 281,335.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,084 : 135,316 = 135,316 : x
  2. Step 2: Convert to fraction form
    65,084/135,316 = 135,316/x
  3. Step 3: Cross multiply
    65,084x = 135,316 × 135,316
  4. Step 4: Simplify right side
    65,084x = 18,310,419,856
  5. Step 5: Solve for x
    x = 18,310,419,856/65,084
  6. Step 6: Final answer
    x = 281,335.20

Related Problems

Find third proportional to 32,542 and 67,658
Half scale
Find third proportional to 130,168 and 270,632
Double scale
Find third proportional to 65,086 and 135,320
Similar ratio
Find third proportional to 97,626 and 202,974
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.