Home / 397-537

Finding the Third Proportional to 397 and 537

Calculator

Solution

The third proportional to 397 and 537 is: 726.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    397 : 537 = 537 : x
  2. Step 2: Convert to fraction form
    397/537 = 537/x
  3. Step 3: Cross multiply
    397x = 537 × 537
  4. Step 4: Simplify right side
    397x = 288,369
  5. Step 5: Solve for x
    x = 288,369/397
  6. Step 6: Final answer
    x = 726.37

Related Problems

Find third proportional to 198.50 and 268.50
Half scale
Find third proportional to 794 and 1,074
Double scale
Find third proportional to 399 and 540
Similar ratio
Find third proportional to 595.50 and 805.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.