Home / 9,659-20,920

Finding the Third Proportional to 9,659 and 20,920

Calculator

Solution

The third proportional to 9,659 and 20,920 is: 45,309.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659 : 20,920 = 20,920 : x
  2. Step 2: Convert to fraction form
    9,659/20,920 = 20,920/x
  3. Step 3: Cross multiply
    9,659x = 20,920 × 20,920
  4. Step 4: Simplify right side
    9,659x = 437,646,400
  5. Step 5: Solve for x
    x = 437,646,400/9,659
  6. Step 6: Final answer
    x = 45,309.70

Related Problems

Find third proportional to 4,829.50 and 10,460
Half scale
Find third proportional to 19,318 and 41,840
Double scale
Find third proportional to 9,661 and 20,924
Similar ratio
Find third proportional to 14,488.50 and 31,380
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.