Home / 810-1,038

Finding the Third Proportional to 810 and 1,038

Calculator

Solution

The third proportional to 810 and 1,038 is: 1,330.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    810 : 1,038 = 1,038 : x
  2. Step 2: Convert to fraction form
    810/1,038 = 1,038/x
  3. Step 3: Cross multiply
    810x = 1,038 × 1,038
  4. Step 4: Simplify right side
    810x = 1,077,444
  5. Step 5: Solve for x
    x = 1,077,444/810
  6. Step 6: Final answer
    x = 1,330.18

Related Problems

Find third proportional to 405 and 519
Half scale
Find third proportional to 1,620 and 2,076
Double scale
Find third proportional to 812 and 1,041
Similar ratio
Find third proportional to 1,215 and 1,557
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.