Home / 347-521

Finding the Third Proportional to 347 and 521

Calculator

Solution

The third proportional to 347 and 521 is: 782.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    347 : 521 = 521 : x
  2. Step 2: Convert to fraction form
    347/521 = 521/x
  3. Step 3: Cross multiply
    347x = 521 × 521
  4. Step 4: Simplify right side
    347x = 271,441
  5. Step 5: Solve for x
    x = 271,441/347
  6. Step 6: Final answer
    x = 782.25

Related Problems

Find third proportional to 173.50 and 260.50
Half scale
Find third proportional to 694 and 1,042
Double scale
Find third proportional to 349 and 524
Similar ratio
Find third proportional to 520.50 and 781.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.