Home / 109,420-164,912

Finding the Third Proportional to 109,420 and 164,912

Calculator

Solution

The third proportional to 109,420 and 164,912 is: 248,546.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,420 : 164,912 = 164,912 : x
  2. Step 2: Convert to fraction form
    109,420/164,912 = 164,912/x
  3. Step 3: Cross multiply
    109,420x = 164,912 × 164,912
  4. Step 4: Simplify right side
    109,420x = 27,195,967,744
  5. Step 5: Solve for x
    x = 27,195,967,744/109,420
  6. Step 6: Final answer
    x = 248,546.59

Related Problems

Find third proportional to 54,710 and 82,456
Half scale
Find third proportional to 218,840 and 329,824
Double scale
Find third proportional to 109,422 and 164,915
Similar ratio
Find third proportional to 164,130 and 247,368
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.