Home / 7,524-17,698

Finding the Third Proportional to 7,524 and 17,698

Calculator

Solution

The third proportional to 7,524 and 17,698 is: 41,629.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,524 : 17,698 = 17,698 : x
  2. Step 2: Convert to fraction form
    7,524/17,698 = 17,698/x
  3. Step 3: Cross multiply
    7,524x = 17,698 × 17,698
  4. Step 4: Simplify right side
    7,524x = 313,219,204
  5. Step 5: Solve for x
    x = 313,219,204/7,524
  6. Step 6: Final answer
    x = 41,629.35

Related Problems

Find third proportional to 3,762 and 8,849
Half scale
Find third proportional to 15,048 and 35,396
Double scale
Find third proportional to 7,526 and 17,703
Similar ratio
Find third proportional to 11,286 and 26,547
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.