Home / 228-566

Finding the Third Proportional to 228 and 566

Calculator

Solution

The third proportional to 228 and 566 is: 1,405.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    228 : 566 = 566 : x
  2. Step 2: Convert to fraction form
    228/566 = 566/x
  3. Step 3: Cross multiply
    228x = 566 × 566
  4. Step 4: Simplify right side
    228x = 320,356
  5. Step 5: Solve for x
    x = 320,356/228
  6. Step 6: Final answer
    x = 1,405.07

Related Problems

Find third proportional to 114 and 283
Half scale
Find third proportional to 456 and 1,132
Double scale
Find third proportional to 230 and 571
Similar ratio
Find third proportional to 342 and 849
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.