Home / 7,837-17,224

Finding the Third Proportional to 7,837 and 17,224

Calculator

Solution

The third proportional to 7,837 and 17,224 is: 37,854.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,837 : 17,224 = 17,224 : x
  2. Step 2: Convert to fraction form
    7,837/17,224 = 17,224/x
  3. Step 3: Cross multiply
    7,837x = 17,224 × 17,224
  4. Step 4: Simplify right side
    7,837x = 296,666,176
  5. Step 5: Solve for x
    x = 296,666,176/7,837
  6. Step 6: Final answer
    x = 37,854.56

Related Problems

Find third proportional to 3,918.50 and 8,612
Half scale
Find third proportional to 15,674 and 34,448
Double scale
Find third proportional to 7,839 and 17,228
Similar ratio
Find third proportional to 11,755.50 and 25,836
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.