Home / 9,002-9,818

Finding the Third Proportional to 9,002 and 9,818

Calculator

Solution

The third proportional to 9,002 and 9,818 is: 10,707.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002 : 9,818 = 9,818 : x
  2. Step 2: Convert to fraction form
    9,002/9,818 = 9,818/x
  3. Step 3: Cross multiply
    9,002x = 9,818 × 9,818
  4. Step 4: Simplify right side
    9,002x = 96,393,124
  5. Step 5: Solve for x
    x = 96,393,124/9,002
  6. Step 6: Final answer
    x = 10,707.97

Related Problems

Find third proportional to 4,501 and 4,909
Half scale
Find third proportional to 18,004 and 19,636
Double scale
Find third proportional to 9,004 and 9,820
Similar ratio
Find third proportional to 13,503 and 14,727
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.