Home / 362-514

Finding the Third Proportional to 362 and 514

Calculator

Solution

The third proportional to 362 and 514 is: 729.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    362 : 514 = 514 : x
  2. Step 2: Convert to fraction form
    362/514 = 514/x
  3. Step 3: Cross multiply
    362x = 514 × 514
  4. Step 4: Simplify right side
    362x = 264,196
  5. Step 5: Solve for x
    x = 264,196/362
  6. Step 6: Final answer
    x = 729.82

Related Problems

Find third proportional to 181 and 257
Half scale
Find third proportional to 724 and 1,028
Double scale
Find third proportional to 364 and 517
Similar ratio
Find third proportional to 543 and 771
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.