Home / 402-569

Finding the Third Proportional to 402 and 569

Calculator

Solution

The third proportional to 402 and 569 is: 805.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    402 : 569 = 569 : x
  2. Step 2: Convert to fraction form
    402/569 = 569/x
  3. Step 3: Cross multiply
    402x = 569 × 569
  4. Step 4: Simplify right side
    402x = 323,761
  5. Step 5: Solve for x
    x = 323,761/402
  6. Step 6: Final answer
    x = 805.38

Related Problems

Find third proportional to 201 and 284.50
Half scale
Find third proportional to 804 and 1,138
Double scale
Find third proportional to 404 and 572
Similar ratio
Find third proportional to 603 and 853.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.