Home / 109,214-164,589

Finding the Third Proportional to 109,214 and 164,589

Calculator

Solution

The third proportional to 109,214 and 164,589 is: 248,040.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,214 : 164,589 = 164,589 : x
  2. Step 2: Convert to fraction form
    109,214/164,589 = 164,589/x
  3. Step 3: Cross multiply
    109,214x = 164,589 × 164,589
  4. Step 4: Simplify right side
    109,214x = 27,089,538,921
  5. Step 5: Solve for x
    x = 27,089,538,921/109,214
  6. Step 6: Final answer
    x = 248,040.90

Related Problems

Find third proportional to 54,607 and 82,294.50
Half scale
Find third proportional to 218,428 and 329,178
Double scale
Find third proportional to 109,216 and 164,592
Similar ratio
Find third proportional to 163,821 and 246,883.50
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.