Home / 7,698-11,306

Finding the Third Proportional to 7,698 and 11,306

Calculator

Solution

The third proportional to 7,698 and 11,306 is: 16,605.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698 : 11,306 = 11,306 : x
  2. Step 2: Convert to fraction form
    7,698/11,306 = 11,306/x
  3. Step 3: Cross multiply
    7,698x = 11,306 × 11,306
  4. Step 4: Simplify right side
    7,698x = 127,825,636
  5. Step 5: Solve for x
    x = 127,825,636/7,698
  6. Step 6: Final answer
    x = 16,605.04

Related Problems

Find third proportional to 3,849 and 5,653
Half scale
Find third proportional to 15,396 and 22,612
Double scale
Find third proportional to 7,700 and 11,309
Similar ratio
Find third proportional to 11,547 and 16,959
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.