Home / 522-689

Finding the Third Proportional to 522 and 689

Calculator

Solution

The third proportional to 522 and 689 is: 909.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    522 : 689 = 689 : x
  2. Step 2: Convert to fraction form
    522/689 = 689/x
  3. Step 3: Cross multiply
    522x = 689 × 689
  4. Step 4: Simplify right side
    522x = 474,721
  5. Step 5: Solve for x
    x = 474,721/522
  6. Step 6: Final answer
    x = 909.43

Related Problems

Find third proportional to 261 and 344.50
Half scale
Find third proportional to 1,044 and 1,378
Double scale
Find third proportional to 524 and 692
Similar ratio
Find third proportional to 783 and 1,033.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.