Home / 6,534-13,464

Finding the Third Proportional to 6,534 and 13,464

Calculator

Solution

The third proportional to 6,534 and 13,464 is: 27,744

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534 : 13,464 = 13,464 : x
  2. Step 2: Convert to fraction form
    6,534/13,464 = 13,464/x
  3. Step 3: Cross multiply
    6,534x = 13,464 × 13,464
  4. Step 4: Simplify right side
    6,534x = 181,279,296
  5. Step 5: Solve for x
    x = 181,279,296/6,534
  6. Step 6: Final answer
    x = 27,744

Related Problems

Find third proportional to 3,267 and 6,732
Half scale
Find third proportional to 13,068 and 26,928
Double scale
Find third proportional to 6,536 and 13,468
Similar ratio
Find third proportional to 9,801 and 20,196
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.