Home / 438-616.50

Finding the Third Proportional to 438 and 616.50

Calculator

Solution

The third proportional to 438 and 616.50 is: 867.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    438 : 616.50 = 616.50 : x
  2. Step 2: Convert to fraction form
    438/616.50 = 616.50/x
  3. Step 3: Cross multiply
    438x = 616.50 × 616.50
  4. Step 4: Simplify right side
    438x = 380,072.25
  5. Step 5: Solve for x
    x = 380,072.25/438
  6. Step 6: Final answer
    x = 867.74

Related Problems

Find third proportional to 219 and 308.25
Half scale
Find third proportional to 876 and 1,233
Double scale
Find third proportional to 440 and 619
Similar ratio
Find third proportional to 657 and 924.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.