Home / 83,522-120,675

Finding the Third Proportional to 83,522 and 120,675

Calculator

Solution

The third proportional to 83,522 and 120,675 is: 174,354.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,522 : 120,675 = 120,675 : x
  2. Step 2: Convert to fraction form
    83,522/120,675 = 120,675/x
  3. Step 3: Cross multiply
    83,522x = 120,675 × 120,675
  4. Step 4: Simplify right side
    83,522x = 14,562,455,625
  5. Step 5: Solve for x
    x = 14,562,455,625/83,522
  6. Step 6: Final answer
    x = 174,354.73

Related Problems

Find third proportional to 41,761 and 60,337.50
Half scale
Find third proportional to 167,044 and 241,350
Double scale
Find third proportional to 83,524 and 120,678
Similar ratio
Find third proportional to 125,283 and 181,012.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.