Home / 7,306-9,823

Finding the Third Proportional to 7,306 and 9,823

Calculator

Solution

The third proportional to 7,306 and 9,823 is: 13,207.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,306 : 9,823 = 9,823 : x
  2. Step 2: Convert to fraction form
    7,306/9,823 = 9,823/x
  3. Step 3: Cross multiply
    7,306x = 9,823 × 9,823
  4. Step 4: Simplify right side
    7,306x = 96,491,329
  5. Step 5: Solve for x
    x = 96,491,329/7,306
  6. Step 6: Final answer
    x = 13,207.14

Related Problems

Find third proportional to 3,653 and 4,911.50
Half scale
Find third proportional to 14,612 and 19,646
Double scale
Find third proportional to 7,308 and 9,826
Similar ratio
Find third proportional to 10,959 and 14,734.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.