Home / 156.75-213

Finding the Third Proportional to 156.75 and 213

Calculator

Solution

The third proportional to 156.75 and 213 is: 289.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.75 : 213 = 213 : x
  2. Step 2: Convert to fraction form
    156.75/213 = 213/x
  3. Step 3: Cross multiply
    156.75x = 213 × 213
  4. Step 4: Simplify right side
    156.75x = 45,369
  5. Step 5: Solve for x
    x = 45,369/156.75
  6. Step 6: Final answer
    x = 289.44

Related Problems

Find third proportional to 78.38 and 106.50
Half scale
Find third proportional to 313.50 and 426
Double scale
Find third proportional to 159 and 216
Similar ratio
Find third proportional to 235.13 and 319.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.