Home / 10,138-11,596

Finding the Third Proportional to 10,138 and 11,596

Calculator

Solution

The third proportional to 10,138 and 11,596 is: 13,263.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138 : 11,596 = 11,596 : x
  2. Step 2: Convert to fraction form
    10,138/11,596 = 11,596/x
  3. Step 3: Cross multiply
    10,138x = 11,596 × 11,596
  4. Step 4: Simplify right side
    10,138x = 134,467,216
  5. Step 5: Solve for x
    x = 134,467,216/10,138
  6. Step 6: Final answer
    x = 13,263.68

Related Problems

Find third proportional to 5,069 and 5,798
Half scale
Find third proportional to 20,276 and 23,192
Double scale
Find third proportional to 10,140 and 11,598
Similar ratio
Find third proportional to 15,207 and 17,394
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.