Home / 569-626

Finding the Third Proportional to 569 and 626

Calculator

Solution

The third proportional to 569 and 626 is: 688.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    569 : 626 = 626 : x
  2. Step 2: Convert to fraction form
    569/626 = 626/x
  3. Step 3: Cross multiply
    569x = 626 × 626
  4. Step 4: Simplify right side
    569x = 391,876
  5. Step 5: Solve for x
    x = 391,876/569
  6. Step 6: Final answer
    x = 688.71

Related Problems

Find third proportional to 284.50 and 313
Half scale
Find third proportional to 1,138 and 1,252
Double scale
Find third proportional to 571 and 628
Similar ratio
Find third proportional to 853.50 and 939
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.