Home / 497-809

Finding the Third Proportional to 497 and 809

Calculator

Solution

The third proportional to 497 and 809 is: 1,316.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    497 : 809 = 809 : x
  2. Step 2: Convert to fraction form
    497/809 = 809/x
  3. Step 3: Cross multiply
    497x = 809 × 809
  4. Step 4: Simplify right side
    497x = 654,481
  5. Step 5: Solve for x
    x = 654,481/497
  6. Step 6: Final answer
    x = 1,316.86

Related Problems

Find third proportional to 248.50 and 404.50
Half scale
Find third proportional to 994 and 1,618
Double scale
Find third proportional to 499 and 812
Similar ratio
Find third proportional to 745.50 and 1,213.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.