Home / 83,954-117,371

Finding the Third Proportional to 83,954 and 117,371

Calculator

Solution

The third proportional to 83,954 and 117,371 is: 164,089.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,954 : 117,371 = 117,371 : x
  2. Step 2: Convert to fraction form
    83,954/117,371 = 117,371/x
  3. Step 3: Cross multiply
    83,954x = 117,371 × 117,371
  4. Step 4: Simplify right side
    83,954x = 13,775,951,641
  5. Step 5: Solve for x
    x = 13,775,951,641/83,954
  6. Step 6: Final answer
    x = 164,089.28

Related Problems

Find third proportional to 41,977 and 58,685.50
Half scale
Find third proportional to 167,908 and 234,742
Double scale
Find third proportional to 83,956 and 117,374
Similar ratio
Find third proportional to 125,931 and 176,056.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.