Home / 563-622

Finding the Third Proportional to 563 and 622

Calculator

Solution

The third proportional to 563 and 622 is: 687.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    563 : 622 = 622 : x
  2. Step 2: Convert to fraction form
    563/622 = 622/x
  3. Step 3: Cross multiply
    563x = 622 × 622
  4. Step 4: Simplify right side
    563x = 386,884
  5. Step 5: Solve for x
    x = 386,884/563
  6. Step 6: Final answer
    x = 687.18

Related Problems

Find third proportional to 281.50 and 311
Half scale
Find third proportional to 1,126 and 1,244
Double scale
Find third proportional to 565 and 624
Similar ratio
Find third proportional to 844.50 and 933
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.