Home / 566-669

Finding the Third Proportional to 566 and 669

Calculator

Solution

The third proportional to 566 and 669 is: 790.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    566 : 669 = 669 : x
  2. Step 2: Convert to fraction form
    566/669 = 669/x
  3. Step 3: Cross multiply
    566x = 669 × 669
  4. Step 4: Simplify right side
    566x = 447,561
  5. Step 5: Solve for x
    x = 447,561/566
  6. Step 6: Final answer
    x = 790.74

Related Problems

Find third proportional to 283 and 334.50
Half scale
Find third proportional to 1,132 and 1,338
Double scale
Find third proportional to 568 and 671
Similar ratio
Find third proportional to 849 and 1,003.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.