Home / 70,219-106,085

Finding the Third Proportional to 70,219 and 106,085

Calculator

Solution

The third proportional to 70,219 and 106,085 is: 160,270.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,219 : 106,085 = 106,085 : x
  2. Step 2: Convert to fraction form
    70,219/106,085 = 106,085/x
  3. Step 3: Cross multiply
    70,219x = 106,085 × 106,085
  4. Step 4: Simplify right side
    70,219x = 11,254,027,225
  5. Step 5: Solve for x
    x = 11,254,027,225/70,219
  6. Step 6: Final answer
    x = 160,270.40

Related Problems

Find third proportional to 35,109.50 and 53,042.50
Half scale
Find third proportional to 140,438 and 212,170
Double scale
Find third proportional to 70,221 and 106,088
Similar ratio
Find third proportional to 105,328.50 and 159,127.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.