Home / 216-564

Finding the Third Proportional to 216 and 564

Calculator

Solution

The third proportional to 216 and 564 is: 1,472.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    216 : 564 = 564 : x
  2. Step 2: Convert to fraction form
    216/564 = 564/x
  3. Step 3: Cross multiply
    216x = 564 × 564
  4. Step 4: Simplify right side
    216x = 318,096
  5. Step 5: Solve for x
    x = 318,096/216
  6. Step 6: Final answer
    x = 1,472.67

Related Problems

Find third proportional to 108 and 282
Half scale
Find third proportional to 432 and 1,128
Double scale
Find third proportional to 218 and 569
Similar ratio
Find third proportional to 324 and 846
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.