Home / 6,650-9,975

Finding the Third Proportional to 6,650 and 9,975

Calculator

Solution

The third proportional to 6,650 and 9,975 is: 14,962.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,650 : 9,975 = 9,975 : x
  2. Step 2: Convert to fraction form
    6,650/9,975 = 9,975/x
  3. Step 3: Cross multiply
    6,650x = 9,975 × 9,975
  4. Step 4: Simplify right side
    6,650x = 99,500,625
  5. Step 5: Solve for x
    x = 99,500,625/6,650
  6. Step 6: Final answer
    x = 14,962.50

Related Problems

Find third proportional to 3,325 and 4,987.50
Half scale
Find third proportional to 13,300 and 19,950
Double scale
Find third proportional to 6,652 and 9,978
Similar ratio
Find third proportional to 9,975 and 14,962.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.