Home / 506-599

Finding the Third Proportional to 506 and 599

Calculator

Solution

The third proportional to 506 and 599 is: 709.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    506 : 599 = 599 : x
  2. Step 2: Convert to fraction form
    506/599 = 599/x
  3. Step 3: Cross multiply
    506x = 599 × 599
  4. Step 4: Simplify right side
    506x = 358,801
  5. Step 5: Solve for x
    x = 358,801/506
  6. Step 6: Final answer
    x = 709.09

Related Problems

Find third proportional to 253 and 299.50
Half scale
Find third proportional to 1,012 and 1,198
Double scale
Find third proportional to 508 and 601
Similar ratio
Find third proportional to 759 and 898.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.