Home / 146.29-223.70

Finding the Third Proportional to 146.29 and 223.70

Calculator

Solution

The third proportional to 146.29 and 223.70 is: 342.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.29 : 223.70 = 223.70 : x
  2. Step 2: Convert to fraction form
    146.29/223.70 = 223.70/x
  3. Step 3: Cross multiply
    146.29x = 223.70 × 223.70
  4. Step 4: Simplify right side
    146.29x = 50,041.34
  5. Step 5: Solve for x
    x = 50,041.34/146.29
  6. Step 6: Final answer
    x = 342.08

Related Problems

Find third proportional to 73.14 and 111.85
Half scale
Find third proportional to 292.57 and 447.40
Double scale
Find third proportional to 148 and 227
Similar ratio
Find third proportional to 219.43 and 335.55
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.