Home / 136-296.50

Finding the Third Proportional to 136 and 296.50

Calculator

Solution

The third proportional to 136 and 296.50 is: 646.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    136 : 296.50 = 296.50 : x
  2. Step 2: Convert to fraction form
    136/296.50 = 296.50/x
  3. Step 3: Cross multiply
    136x = 296.50 × 296.50
  4. Step 4: Simplify right side
    136x = 87,912.25
  5. Step 5: Solve for x
    x = 87,912.25/136
  6. Step 6: Final answer
    x = 646.41

Related Problems

Find third proportional to 68 and 148.25
Half scale
Find third proportional to 272 and 593
Double scale
Find third proportional to 138 and 301
Similar ratio
Find third proportional to 204 and 444.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.