Home / 396.50-522

Finding the Third Proportional to 396.50 and 522

Calculator

Solution

The third proportional to 396.50 and 522 is: 687.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.50 : 522 = 522 : x
  2. Step 2: Convert to fraction form
    396.50/522 = 522/x
  3. Step 3: Cross multiply
    396.50x = 522 × 522
  4. Step 4: Simplify right side
    396.50x = 272,484
  5. Step 5: Solve for x
    x = 272,484/396.50
  6. Step 6: Final answer
    x = 687.22

Related Problems

Find third proportional to 198.25 and 261
Half scale
Find third proportional to 793 and 1,044
Double scale
Find third proportional to 399 and 525
Similar ratio
Find third proportional to 594.75 and 783
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.