Home / 7,724-18,653

Finding the Third Proportional to 7,724 and 18,653

Calculator

Solution

The third proportional to 7,724 and 18,653 is: 45,045.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,724 : 18,653 = 18,653 : x
  2. Step 2: Convert to fraction form
    7,724/18,653 = 18,653/x
  3. Step 3: Cross multiply
    7,724x = 18,653 × 18,653
  4. Step 4: Simplify right side
    7,724x = 347,934,409
  5. Step 5: Solve for x
    x = 347,934,409/7,724
  6. Step 6: Final answer
    x = 45,045.88

Related Problems

Find third proportional to 3,862 and 9,326.50
Half scale
Find third proportional to 15,448 and 37,306
Double scale
Find third proportional to 7,726 and 18,658
Similar ratio
Find third proportional to 11,586 and 27,979.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.