Home / 461-809

Finding the Third Proportional to 461 and 809

Calculator

Solution

The third proportional to 461 and 809 is: 1,419.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    461 : 809 = 809 : x
  2. Step 2: Convert to fraction form
    461/809 = 809/x
  3. Step 3: Cross multiply
    461x = 809 × 809
  4. Step 4: Simplify right side
    461x = 654,481
  5. Step 5: Solve for x
    x = 654,481/461
  6. Step 6: Final answer
    x = 1,419.70

Related Problems

Find third proportional to 230.50 and 404.50
Half scale
Find third proportional to 922 and 1,618
Double scale
Find third proportional to 463 and 813
Similar ratio
Find third proportional to 691.50 and 1,213.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.