Home / 149.50-206.25

Finding the Third Proportional to 149.50 and 206.25

Calculator

Solution

The third proportional to 149.50 and 206.25 is: 284.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.50 : 206.25 = 206.25 : x
  2. Step 2: Convert to fraction form
    149.50/206.25 = 206.25/x
  3. Step 3: Cross multiply
    149.50x = 206.25 × 206.25
  4. Step 4: Simplify right side
    149.50x = 42,539.06
  5. Step 5: Solve for x
    x = 42,539.06/149.50
  6. Step 6: Final answer
    x = 284.54

Related Problems

Find third proportional to 74.75 and 103.13
Half scale
Find third proportional to 299 and 412.50
Double scale
Find third proportional to 152 and 209
Similar ratio
Find third proportional to 224.25 and 309.38
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.