Home / 7,024-12,704

Finding the Third Proportional to 7,024 and 12,704

Calculator

Solution

The third proportional to 7,024 and 12,704 is: 22,977.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024 : 12,704 = 12,704 : x
  2. Step 2: Convert to fraction form
    7,024/12,704 = 12,704/x
  3. Step 3: Cross multiply
    7,024x = 12,704 × 12,704
  4. Step 4: Simplify right side
    7,024x = 161,391,616
  5. Step 5: Solve for x
    x = 161,391,616/7,024
  6. Step 6: Final answer
    x = 22,977.17

Related Problems

Find third proportional to 3,512 and 6,352
Half scale
Find third proportional to 14,048 and 25,408
Double scale
Find third proportional to 7,026 and 12,708
Similar ratio
Find third proportional to 10,536 and 19,056
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.