Home / 135,682-199,457

Finding the Third Proportional to 135,682 and 199,457

Calculator

Solution

The third proportional to 135,682 and 199,457 is: 293,208.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,682 : 199,457 = 199,457 : x
  2. Step 2: Convert to fraction form
    135,682/199,457 = 199,457/x
  3. Step 3: Cross multiply
    135,682x = 199,457 × 199,457
  4. Step 4: Simplify right side
    135,682x = 39,783,094,849
  5. Step 5: Solve for x
    x = 39,783,094,849/135,682
  6. Step 6: Final answer
    x = 293,208.35

Related Problems

Find third proportional to 67,841 and 99,728.50
Half scale
Find third proportional to 271,364 and 398,914
Double scale
Find third proportional to 135,684 and 199,460
Similar ratio
Find third proportional to 203,523 and 299,185.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.