Home / 403-566

Finding the Third Proportional to 403 and 566

Calculator

Solution

The third proportional to 403 and 566 is: 794.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    403 : 566 = 566 : x
  2. Step 2: Convert to fraction form
    403/566 = 566/x
  3. Step 3: Cross multiply
    403x = 566 × 566
  4. Step 4: Simplify right side
    403x = 320,356
  5. Step 5: Solve for x
    x = 320,356/403
  6. Step 6: Final answer
    x = 794.93

Related Problems

Find third proportional to 201.50 and 283
Half scale
Find third proportional to 806 and 1,132
Double scale
Find third proportional to 405 and 569
Similar ratio
Find third proportional to 604.50 and 849
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.