Home / 7,638-10,305

Finding the Third Proportional to 7,638 and 10,305

Calculator

Solution

The third proportional to 7,638 and 10,305 is: 13,903.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638 : 10,305 = 10,305 : x
  2. Step 2: Convert to fraction form
    7,638/10,305 = 10,305/x
  3. Step 3: Cross multiply
    7,638x = 10,305 × 10,305
  4. Step 4: Simplify right side
    7,638x = 106,193,025
  5. Step 5: Solve for x
    x = 106,193,025/7,638
  6. Step 6: Final answer
    x = 13,903.25

Related Problems

Find third proportional to 3,819 and 5,152.50
Half scale
Find third proportional to 15,276 and 20,610
Double scale
Find third proportional to 7,640 and 10,308
Similar ratio
Find third proportional to 11,457 and 15,457.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.