Home / 186.50-219

Finding the Third Proportional to 186.50 and 219

Calculator

Solution

The third proportional to 186.50 and 219 is: 257.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.50 : 219 = 219 : x
  2. Step 2: Convert to fraction form
    186.50/219 = 219/x
  3. Step 3: Cross multiply
    186.50x = 219 × 219
  4. Step 4: Simplify right side
    186.50x = 47,961
  5. Step 5: Solve for x
    x = 47,961/186.50
  6. Step 6: Final answer
    x = 257.16

Related Problems

Find third proportional to 93.25 and 109.50
Half scale
Find third proportional to 373 and 438
Double scale
Find third proportional to 189 and 221
Similar ratio
Find third proportional to 279.75 and 328.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.