Home / 136.50-169

Finding the Third Proportional to 136.50 and 169

Calculator

Solution

The third proportional to 136.50 and 169 is: 209.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.50 : 169 = 169 : x
  2. Step 2: Convert to fraction form
    136.50/169 = 169/x
  3. Step 3: Cross multiply
    136.50x = 169 × 169
  4. Step 4: Simplify right side
    136.50x = 28,561
  5. Step 5: Solve for x
    x = 28,561/136.50
  6. Step 6: Final answer
    x = 209.24

Related Problems

Find third proportional to 68.25 and 84.50
Half scale
Find third proportional to 273 and 338
Double scale
Find third proportional to 139 and 171
Similar ratio
Find third proportional to 204.75 and 253.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.