Home / 102,240-160,416

Finding the Third Proportional to 102,240 and 160,416

Calculator

Solution

The third proportional to 102,240 and 160,416 is: 251,694.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,240 : 160,416 = 160,416 : x
  2. Step 2: Convert to fraction form
    102,240/160,416 = 160,416/x
  3. Step 3: Cross multiply
    102,240x = 160,416 × 160,416
  4. Step 4: Simplify right side
    102,240x = 25,733,293,056
  5. Step 5: Solve for x
    x = 25,733,293,056/102,240
  6. Step 6: Final answer
    x = 251,694.96

Related Problems

Find third proportional to 51,120 and 80,208
Half scale
Find third proportional to 204,480 and 320,832
Double scale
Find third proportional to 102,242 and 160,419
Similar ratio
Find third proportional to 153,360 and 240,624
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.