Home / 164-215

Finding the Third Proportional to 164 and 215

Calculator

Solution

The third proportional to 164 and 215 is: 281.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    164 : 215 = 215 : x
  2. Step 2: Convert to fraction form
    164/215 = 215/x
  3. Step 3: Cross multiply
    164x = 215 × 215
  4. Step 4: Simplify right side
    164x = 46,225
  5. Step 5: Solve for x
    x = 46,225/164
  6. Step 6: Final answer
    x = 281.86

Related Problems

Find third proportional to 82 and 107.50
Half scale
Find third proportional to 328 and 430
Double scale
Find third proportional to 166 and 218
Similar ratio
Find third proportional to 246 and 322.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.