Home / 10,534-14,135

Finding the Third Proportional to 10,534 and 14,135

Calculator

Solution

The third proportional to 10,534 and 14,135 is: 18,966.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534 : 14,135 = 14,135 : x
  2. Step 2: Convert to fraction form
    10,534/14,135 = 14,135/x
  3. Step 3: Cross multiply
    10,534x = 14,135 × 14,135
  4. Step 4: Simplify right side
    10,534x = 199,798,225
  5. Step 5: Solve for x
    x = 199,798,225/10,534
  6. Step 6: Final answer
    x = 18,966.99

Related Problems

Find third proportional to 5,267 and 7,067.50
Half scale
Find third proportional to 21,068 and 28,270
Double scale
Find third proportional to 10,536 and 14,138
Similar ratio
Find third proportional to 15,801 and 21,202.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.