Home / 2,309-5,138

Finding the Third Proportional to 2,309 and 5,138

Calculator

Solution

The third proportional to 2,309 and 5,138 is: 11,433.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309 : 5,138 = 5,138 : x
  2. Step 2: Convert to fraction form
    2,309/5,138 = 5,138/x
  3. Step 3: Cross multiply
    2,309x = 5,138 × 5,138
  4. Step 4: Simplify right side
    2,309x = 26,399,044
  5. Step 5: Solve for x
    x = 26,399,044/2,309
  6. Step 6: Final answer
    x = 11,433.11

Related Problems

Find third proportional to 1,154.50 and 2,569
Half scale
Find third proportional to 4,618 and 10,276
Double scale
Find third proportional to 2,311 and 5,142
Similar ratio
Find third proportional to 3,463.50 and 7,707
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.