Home / 238-521

Finding the Third Proportional to 238 and 521

Calculator

Solution

The third proportional to 238 and 521 is: 1,140.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    238 : 521 = 521 : x
  2. Step 2: Convert to fraction form
    238/521 = 521/x
  3. Step 3: Cross multiply
    238x = 521 × 521
  4. Step 4: Simplify right side
    238x = 271,441
  5. Step 5: Solve for x
    x = 271,441/238
  6. Step 6: Final answer
    x = 1,140.51

Related Problems

Find third proportional to 119 and 260.50
Half scale
Find third proportional to 476 and 1,042
Double scale
Find third proportional to 240 and 525
Similar ratio
Find third proportional to 357 and 781.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.