Home / 6,506-13,774

Finding the Third Proportional to 6,506 and 13,774

Calculator

Solution

The third proportional to 6,506 and 13,774 is: 29,161.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506 : 13,774 = 13,774 : x
  2. Step 2: Convert to fraction form
    6,506/13,774 = 13,774/x
  3. Step 3: Cross multiply
    6,506x = 13,774 × 13,774
  4. Step 4: Simplify right side
    6,506x = 189,723,076
  5. Step 5: Solve for x
    x = 189,723,076/6,506
  6. Step 6: Final answer
    x = 29,161.25

Related Problems

Find third proportional to 3,253 and 6,887
Half scale
Find third proportional to 13,012 and 27,548
Double scale
Find third proportional to 6,508 and 13,778
Similar ratio
Find third proportional to 9,759 and 20,661
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.