Home / 273-564

Finding the Third Proportional to 273 and 564

Calculator

Solution

The third proportional to 273 and 564 is: 1,165.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    273 : 564 = 564 : x
  2. Step 2: Convert to fraction form
    273/564 = 564/x
  3. Step 3: Cross multiply
    273x = 564 × 564
  4. Step 4: Simplify right side
    273x = 318,096
  5. Step 5: Solve for x
    x = 318,096/273
  6. Step 6: Final answer
    x = 1,165.19

Related Problems

Find third proportional to 136.50 and 282
Half scale
Find third proportional to 546 and 1,128
Double scale
Find third proportional to 275 and 568
Similar ratio
Find third proportional to 409.50 and 846
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.