Home / 3,807-8,202

Finding the Third Proportional to 3,807 and 8,202

Calculator

Solution

The third proportional to 3,807 and 8,202 is: 17,670.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807 : 8,202 = 8,202 : x
  2. Step 2: Convert to fraction form
    3,807/8,202 = 8,202/x
  3. Step 3: Cross multiply
    3,807x = 8,202 × 8,202
  4. Step 4: Simplify right side
    3,807x = 67,272,804
  5. Step 5: Solve for x
    x = 67,272,804/3,807
  6. Step 6: Final answer
    x = 17,670.82

Related Problems

Find third proportional to 1,903.50 and 4,101
Half scale
Find third proportional to 7,614 and 16,404
Double scale
Find third proportional to 3,809 and 8,206
Similar ratio
Find third proportional to 5,710.50 and 12,303
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.