Home / 237-537

Finding the Third Proportional to 237 and 537

Calculator

Solution

The third proportional to 237 and 537 is: 1,216.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    237 : 537 = 537 : x
  2. Step 2: Convert to fraction form
    237/537 = 537/x
  3. Step 3: Cross multiply
    237x = 537 × 537
  4. Step 4: Simplify right side
    237x = 288,369
  5. Step 5: Solve for x
    x = 288,369/237
  6. Step 6: Final answer
    x = 1,216.75

Related Problems

Find third proportional to 118.50 and 268.50
Half scale
Find third proportional to 474 and 1,074
Double scale
Find third proportional to 239 and 542
Similar ratio
Find third proportional to 355.50 and 805.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.