Home / 61,900-83,589

Finding the Third Proportional to 61,900 and 83,589

Calculator

Solution

The third proportional to 61,900 and 83,589 is: 112,877.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,900 : 83,589 = 83,589 : x
  2. Step 2: Convert to fraction form
    61,900/83,589 = 83,589/x
  3. Step 3: Cross multiply
    61,900x = 83,589 × 83,589
  4. Step 4: Simplify right side
    61,900x = 6,987,120,921
  5. Step 5: Solve for x
    x = 6,987,120,921/61,900
  6. Step 6: Final answer
    x = 112,877.56

Related Problems

Find third proportional to 30,950 and 41,794.50
Half scale
Find third proportional to 123,800 and 167,178
Double scale
Find third proportional to 61,902 and 83,592
Similar ratio
Find third proportional to 92,850 and 125,383.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.