Home / 110.50-169

Finding the Third Proportional to 110.50 and 169

Calculator

Solution

The third proportional to 110.50 and 169 is: 258.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.50 : 169 = 169 : x
  2. Step 2: Convert to fraction form
    110.50/169 = 169/x
  3. Step 3: Cross multiply
    110.50x = 169 × 169
  4. Step 4: Simplify right side
    110.50x = 28,561
  5. Step 5: Solve for x
    x = 28,561/110.50
  6. Step 6: Final answer
    x = 258.47

Related Problems

Find third proportional to 55.25 and 84.50
Half scale
Find third proportional to 221 and 338
Double scale
Find third proportional to 113 and 172
Similar ratio
Find third proportional to 165.75 and 253.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.