Home / 6,500-15,722

Finding the Third Proportional to 6,500 and 15,722

Calculator

Solution

The third proportional to 6,500 and 15,722 is: 38,027.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500 : 15,722 = 15,722 : x
  2. Step 2: Convert to fraction form
    6,500/15,722 = 15,722/x
  3. Step 3: Cross multiply
    6,500x = 15,722 × 15,722
  4. Step 4: Simplify right side
    6,500x = 247,181,284
  5. Step 5: Solve for x
    x = 247,181,284/6,500
  6. Step 6: Final answer
    x = 38,027.89

Related Problems

Find third proportional to 3,250 and 7,861
Half scale
Find third proportional to 13,000 and 31,444
Double scale
Find third proportional to 6,502 and 15,727
Similar ratio
Find third proportional to 9,750 and 23,583
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.