Home / 810-919

Finding the Third Proportional to 810 and 919

Calculator

Solution

The third proportional to 810 and 919 is: 1,042.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    810 : 919 = 919 : x
  2. Step 2: Convert to fraction form
    810/919 = 919/x
  3. Step 3: Cross multiply
    810x = 919 × 919
  4. Step 4: Simplify right side
    810x = 844,561
  5. Step 5: Solve for x
    x = 844,561/810
  6. Step 6: Final answer
    x = 1,042.67

Related Problems

Find third proportional to 405 and 459.50
Half scale
Find third proportional to 1,620 and 1,838
Double scale
Find third proportional to 812 and 921
Similar ratio
Find third proportional to 1,215 and 1,378.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.