Home / 6,574-13,984

Finding the Third Proportional to 6,574 and 13,984

Calculator

Solution

The third proportional to 6,574 and 13,984 is: 29,746.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574 : 13,984 = 13,984 : x
  2. Step 2: Convert to fraction form
    6,574/13,984 = 13,984/x
  3. Step 3: Cross multiply
    6,574x = 13,984 × 13,984
  4. Step 4: Simplify right side
    6,574x = 195,552,256
  5. Step 5: Solve for x
    x = 195,552,256/6,574
  6. Step 6: Final answer
    x = 29,746.31

Related Problems

Find third proportional to 3,287 and 6,992
Half scale
Find third proportional to 13,148 and 27,968
Double scale
Find third proportional to 6,576 and 13,988
Similar ratio
Find third proportional to 9,861 and 20,976
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.