Home / 86,406-137,385

Finding the Third Proportional to 86,406 and 137,385

Calculator

Solution

The third proportional to 86,406 and 137,385 is: 218,441.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,406 : 137,385 = 137,385 : x
  2. Step 2: Convert to fraction form
    86,406/137,385 = 137,385/x
  3. Step 3: Cross multiply
    86,406x = 137,385 × 137,385
  4. Step 4: Simplify right side
    86,406x = 18,874,638,225
  5. Step 5: Solve for x
    x = 18,874,638,225/86,406
  6. Step 6: Final answer
    x = 218,441.29

Related Problems

Find third proportional to 43,203 and 68,692.50
Half scale
Find third proportional to 172,812 and 274,770
Double scale
Find third proportional to 86,408 and 137,388
Similar ratio
Find third proportional to 129,609 and 206,077.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.