Home / 66,902-91,738

Finding the Third Proportional to 66,902 and 91,738

Calculator

Solution

The third proportional to 66,902 and 91,738 is: 125,793.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,902 : 91,738 = 91,738 : x
  2. Step 2: Convert to fraction form
    66,902/91,738 = 91,738/x
  3. Step 3: Cross multiply
    66,902x = 91,738 × 91,738
  4. Step 4: Simplify right side
    66,902x = 8,415,860,644
  5. Step 5: Solve for x
    x = 8,415,860,644/66,902
  6. Step 6: Final answer
    x = 125,793.86

Related Problems

Find third proportional to 33,451 and 45,869
Half scale
Find third proportional to 133,804 and 183,476
Double scale
Find third proportional to 66,904 and 91,741
Similar ratio
Find third proportional to 100,353 and 137,607
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.