Home / 7,457-10,339

Finding the Third Proportional to 7,457 and 10,339

Calculator

Solution

The third proportional to 7,457 and 10,339 is: 14,334.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,457 : 10,339 = 10,339 : x
  2. Step 2: Convert to fraction form
    7,457/10,339 = 10,339/x
  3. Step 3: Cross multiply
    7,457x = 10,339 × 10,339
  4. Step 4: Simplify right side
    7,457x = 106,894,921
  5. Step 5: Solve for x
    x = 106,894,921/7,457
  6. Step 6: Final answer
    x = 14,334.84

Related Problems

Find third proportional to 3,728.50 and 5,169.50
Half scale
Find third proportional to 14,914 and 20,678
Double scale
Find third proportional to 7,459 and 10,342
Similar ratio
Find third proportional to 11,185.50 and 15,508.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.