Home / 6,138-13,023

Finding the Third Proportional to 6,138 and 13,023

Calculator

Solution

The third proportional to 6,138 and 13,023 is: 27,630.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138 : 13,023 = 13,023 : x
  2. Step 2: Convert to fraction form
    6,138/13,023 = 13,023/x
  3. Step 3: Cross multiply
    6,138x = 13,023 × 13,023
  4. Step 4: Simplify right side
    6,138x = 169,598,529
  5. Step 5: Solve for x
    x = 169,598,529/6,138
  6. Step 6: Final answer
    x = 27,630.91

Related Problems

Find third proportional to 3,069 and 6,511.50
Half scale
Find third proportional to 12,276 and 26,046
Double scale
Find third proportional to 6,140 and 13,027
Similar ratio
Find third proportional to 9,207 and 19,534.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.