Home / 6,810-9,975

Finding the Third Proportional to 6,810 and 9,975

Calculator

Solution

The third proportional to 6,810 and 9,975 is: 14,610.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810 : 9,975 = 9,975 : x
  2. Step 2: Convert to fraction form
    6,810/9,975 = 9,975/x
  3. Step 3: Cross multiply
    6,810x = 9,975 × 9,975
  4. Step 4: Simplify right side
    6,810x = 99,500,625
  5. Step 5: Solve for x
    x = 99,500,625/6,810
  6. Step 6: Final answer
    x = 14,610.96

Related Problems

Find third proportional to 3,405 and 4,987.50
Half scale
Find third proportional to 13,620 and 19,950
Double scale
Find third proportional to 6,812 and 9,978
Similar ratio
Find third proportional to 10,215 and 14,962.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.