Home / 669-861

Finding the Third Proportional to 669 and 861

Calculator

Solution

The third proportional to 669 and 861 is: 1,108.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    669 : 861 = 861 : x
  2. Step 2: Convert to fraction form
    669/861 = 861/x
  3. Step 3: Cross multiply
    669x = 861 × 861
  4. Step 4: Simplify right side
    669x = 741,321
  5. Step 5: Solve for x
    x = 741,321/669
  6. Step 6: Final answer
    x = 1,108.10

Related Problems

Find third proportional to 334.50 and 430.50
Half scale
Find third proportional to 1,338 and 1,722
Double scale
Find third proportional to 671 and 864
Similar ratio
Find third proportional to 1,003.50 and 1,291.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.