Home / 433-569

Finding the Third Proportional to 433 and 569

Calculator

Solution

The third proportional to 433 and 569 is: 747.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    433 : 569 = 569 : x
  2. Step 2: Convert to fraction form
    433/569 = 569/x
  3. Step 3: Cross multiply
    433x = 569 × 569
  4. Step 4: Simplify right side
    433x = 323,761
  5. Step 5: Solve for x
    x = 323,761/433
  6. Step 6: Final answer
    x = 747.72

Related Problems

Find third proportional to 216.50 and 284.50
Half scale
Find third proportional to 866 and 1,138
Double scale
Find third proportional to 435 and 572
Similar ratio
Find third proportional to 649.50 and 853.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.