Home / 196-521

Finding the Third Proportional to 196 and 521

Calculator

Solution

The third proportional to 196 and 521 is: 1,384.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    196 : 521 = 521 : x
  2. Step 2: Convert to fraction form
    196/521 = 521/x
  3. Step 3: Cross multiply
    196x = 521 × 521
  4. Step 4: Simplify right side
    196x = 271,441
  5. Step 5: Solve for x
    x = 271,441/196
  6. Step 6: Final answer
    x = 1,384.90

Related Problems

Find third proportional to 98 and 260.50
Half scale
Find third proportional to 392 and 1,042
Double scale
Find third proportional to 198 and 526
Similar ratio
Find third proportional to 294 and 781.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.