Home / 422-564

Finding the Third Proportional to 422 and 564

Calculator

Solution

The third proportional to 422 and 564 is: 753.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    422 : 564 = 564 : x
  2. Step 2: Convert to fraction form
    422/564 = 564/x
  3. Step 3: Cross multiply
    422x = 564 × 564
  4. Step 4: Simplify right side
    422x = 318,096
  5. Step 5: Solve for x
    x = 318,096/422
  6. Step 6: Final answer
    x = 753.78

Related Problems

Find third proportional to 211 and 282
Half scale
Find third proportional to 844 and 1,128
Double scale
Find third proportional to 424 and 567
Similar ratio
Find third proportional to 633 and 846
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.