Home / 135,676-199,584

Finding the Third Proportional to 135,676 and 199,584

Calculator

Solution

The third proportional to 135,676 and 199,584 is: 293,594.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,676 : 199,584 = 199,584 : x
  2. Step 2: Convert to fraction form
    135,676/199,584 = 199,584/x
  3. Step 3: Cross multiply
    135,676x = 199,584 × 199,584
  4. Step 4: Simplify right side
    135,676x = 39,833,773,056
  5. Step 5: Solve for x
    x = 39,833,773,056/135,676
  6. Step 6: Final answer
    x = 293,594.84

Related Problems

Find third proportional to 67,838 and 99,792
Half scale
Find third proportional to 271,352 and 399,168
Double scale
Find third proportional to 135,678 and 199,587
Similar ratio
Find third proportional to 203,514 and 299,376
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.