Home / 235-564

Finding the Third Proportional to 235 and 564

Calculator

Solution

The third proportional to 235 and 564 is: 1,353.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    235 : 564 = 564 : x
  2. Step 2: Convert to fraction form
    235/564 = 564/x
  3. Step 3: Cross multiply
    235x = 564 × 564
  4. Step 4: Simplify right side
    235x = 318,096
  5. Step 5: Solve for x
    x = 318,096/235
  6. Step 6: Final answer
    x = 1,353.60

Related Problems

Find third proportional to 117.50 and 282
Half scale
Find third proportional to 470 and 1,128
Double scale
Find third proportional to 237 and 569
Similar ratio
Find third proportional to 352.50 and 846
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.