Home / 10,122-14,457

Finding the Third Proportional to 10,122 and 14,457

Calculator

Solution

The third proportional to 10,122 and 14,457 is: 20,648.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,122 : 14,457 = 14,457 : x
  2. Step 2: Convert to fraction form
    10,122/14,457 = 14,457/x
  3. Step 3: Cross multiply
    10,122x = 14,457 × 14,457
  4. Step 4: Simplify right side
    10,122x = 209,004,849
  5. Step 5: Solve for x
    x = 209,004,849/10,122
  6. Step 6: Final answer
    x = 20,648.57

Related Problems

Find third proportional to 5,061 and 7,228.50
Half scale
Find third proportional to 20,244 and 28,914
Double scale
Find third proportional to 10,124 and 14,460
Similar ratio
Find third proportional to 15,183 and 21,685.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.