Home / 521-569

Finding the Third Proportional to 521 and 569

Calculator

Solution

The third proportional to 521 and 569 is: 621.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    521 : 569 = 569 : x
  2. Step 2: Convert to fraction form
    521/569 = 569/x
  3. Step 3: Cross multiply
    521x = 569 × 569
  4. Step 4: Simplify right side
    521x = 323,761
  5. Step 5: Solve for x
    x = 323,761/521
  6. Step 6: Final answer
    x = 621.42

Related Problems

Find third proportional to 260.50 and 284.50
Half scale
Find third proportional to 1,042 and 1,138
Double scale
Find third proportional to 523 and 571
Similar ratio
Find third proportional to 781.50 and 853.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.