Home / 135,722-178,474

Finding the Third Proportional to 135,722 and 178,474

Calculator

Solution

The third proportional to 135,722 and 178,474 is: 234,692.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,722 : 178,474 = 178,474 : x
  2. Step 2: Convert to fraction form
    135,722/178,474 = 178,474/x
  3. Step 3: Cross multiply
    135,722x = 178,474 × 178,474
  4. Step 4: Simplify right side
    135,722x = 31,852,968,676
  5. Step 5: Solve for x
    x = 31,852,968,676/135,722
  6. Step 6: Final answer
    x = 234,692.74

Related Problems

Find third proportional to 67,861 and 89,237
Half scale
Find third proportional to 271,444 and 356,948
Double scale
Find third proportional to 135,724 and 178,477
Similar ratio
Find third proportional to 203,583 and 267,711
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.