Home / 159-343

Finding the Third Proportional to 159 and 343

Calculator

Solution

The third proportional to 159 and 343 is: 739.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    159 : 343 = 343 : x
  2. Step 2: Convert to fraction form
    159/343 = 343/x
  3. Step 3: Cross multiply
    159x = 343 × 343
  4. Step 4: Simplify right side
    159x = 117,649
  5. Step 5: Solve for x
    x = 117,649/159
  6. Step 6: Final answer
    x = 739.93

Related Problems

Find third proportional to 79.50 and 171.50
Half scale
Find third proportional to 318 and 686
Double scale
Find third proportional to 161 and 347
Similar ratio
Find third proportional to 238.50 and 514.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.