Home / 10,214-16,293

Finding the Third Proportional to 10,214 and 16,293

Calculator

Solution

The third proportional to 10,214 and 16,293 is: 25,990.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214 : 16,293 = 16,293 : x
  2. Step 2: Convert to fraction form
    10,214/16,293 = 16,293/x
  3. Step 3: Cross multiply
    10,214x = 16,293 × 16,293
  4. Step 4: Simplify right side
    10,214x = 265,461,849
  5. Step 5: Solve for x
    x = 265,461,849/10,214
  6. Step 6: Final answer
    x = 25,990.00

Related Problems

Find third proportional to 5,107 and 8,146.50
Half scale
Find third proportional to 20,428 and 32,586
Double scale
Find third proportional to 10,216 and 16,296
Similar ratio
Find third proportional to 15,321 and 24,439.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.