Home / 133,035-146,157

Finding the Third Proportional to 133,035 and 146,157

Calculator

Solution

The third proportional to 133,035 and 146,157 is: 160,573.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,035 : 146,157 = 146,157 : x
  2. Step 2: Convert to fraction form
    133,035/146,157 = 146,157/x
  3. Step 3: Cross multiply
    133,035x = 146,157 × 146,157
  4. Step 4: Simplify right side
    133,035x = 21,361,868,649
  5. Step 5: Solve for x
    x = 21,361,868,649/133,035
  6. Step 6: Final answer
    x = 160,573.30

Related Problems

Find third proportional to 66,517.50 and 73,078.50
Half scale
Find third proportional to 266,070 and 292,314
Double scale
Find third proportional to 133,037 and 146,159
Similar ratio
Find third proportional to 199,552.50 and 219,235.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.