Home / 861-1,534

Finding the Third Proportional to 861 and 1,534

Calculator

Solution

The third proportional to 861 and 1,534 is: 2,733.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    861 : 1,534 = 1,534 : x
  2. Step 2: Convert to fraction form
    861/1,534 = 1,534/x
  3. Step 3: Cross multiply
    861x = 1,534 × 1,534
  4. Step 4: Simplify right side
    861x = 2,353,156
  5. Step 5: Solve for x
    x = 2,353,156/861
  6. Step 6: Final answer
    x = 2,733.05

Related Problems

Find third proportional to 430.50 and 767
Half scale
Find third proportional to 1,722 and 3,068
Double scale
Find third proportional to 863 and 1,538
Similar ratio
Find third proportional to 1,291.50 and 2,301
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.