Home / 427-514

Finding the Third Proportional to 427 and 514

Calculator

Solution

The third proportional to 427 and 514 is: 618.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    427 : 514 = 514 : x
  2. Step 2: Convert to fraction form
    427/514 = 514/x
  3. Step 3: Cross multiply
    427x = 514 × 514
  4. Step 4: Simplify right side
    427x = 264,196
  5. Step 5: Solve for x
    x = 264,196/427
  6. Step 6: Final answer
    x = 618.73

Related Problems

Find third proportional to 213.50 and 257
Half scale
Find third proportional to 854 and 1,028
Double scale
Find third proportional to 429 and 516
Similar ratio
Find third proportional to 640.50 and 771
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.