Home / 160-229

Finding the Third Proportional to 160 and 229

Calculator

Solution

The third proportional to 160 and 229 is: 327.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    160 : 229 = 229 : x
  2. Step 2: Convert to fraction form
    160/229 = 229/x
  3. Step 3: Cross multiply
    160x = 229 × 229
  4. Step 4: Simplify right side
    160x = 52,441
  5. Step 5: Solve for x
    x = 52,441/160
  6. Step 6: Final answer
    x = 327.76

Related Problems

Find third proportional to 80 and 114.50
Half scale
Find third proportional to 320 and 458
Double scale
Find third proportional to 162 and 232
Similar ratio
Find third proportional to 240 and 343.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.