Home / 65,720-102,959

Finding the Third Proportional to 65,720 and 102,959

Calculator

Solution

The third proportional to 65,720 and 102,959 is: 161,298.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,720 : 102,959 = 102,959 : x
  2. Step 2: Convert to fraction form
    65,720/102,959 = 102,959/x
  3. Step 3: Cross multiply
    65,720x = 102,959 × 102,959
  4. Step 4: Simplify right side
    65,720x = 10,600,555,681
  5. Step 5: Solve for x
    x = 10,600,555,681/65,720
  6. Step 6: Final answer
    x = 161,298.78

Related Problems

Find third proportional to 32,860 and 51,479.50
Half scale
Find third proportional to 131,440 and 205,918
Double scale
Find third proportional to 65,722 and 102,962
Similar ratio
Find third proportional to 98,580 and 154,438.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.