Home / 5,214-8,292

Finding the Third Proportional to 5,214 and 8,292

Calculator

Solution

The third proportional to 5,214 and 8,292 is: 13,187.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214 : 8,292 = 8,292 : x
  2. Step 2: Convert to fraction form
    5,214/8,292 = 8,292/x
  3. Step 3: Cross multiply
    5,214x = 8,292 × 8,292
  4. Step 4: Simplify right side
    5,214x = 68,757,264
  5. Step 5: Solve for x
    x = 68,757,264/5,214
  6. Step 6: Final answer
    x = 13,187.05

Related Problems

Find third proportional to 2,607 and 4,146
Half scale
Find third proportional to 10,428 and 16,584
Double scale
Find third proportional to 5,216 and 8,295
Similar ratio
Find third proportional to 7,821 and 12,438
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.