Home / 658-1,238

Finding the Third Proportional to 658 and 1,238

Calculator

Solution

The third proportional to 658 and 1,238 is: 2,329.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    658 : 1,238 = 1,238 : x
  2. Step 2: Convert to fraction form
    658/1,238 = 1,238/x
  3. Step 3: Cross multiply
    658x = 1,238 × 1,238
  4. Step 4: Simplify right side
    658x = 1,532,644
  5. Step 5: Solve for x
    x = 1,532,644/658
  6. Step 6: Final answer
    x = 2,329.25

Related Problems

Find third proportional to 329 and 619
Half scale
Find third proportional to 1,316 and 2,476
Double scale
Find third proportional to 660 and 1,242
Similar ratio
Find third proportional to 987 and 1,857
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.