Home / 9,724-18,224

Finding the Third Proportional to 9,724 and 18,224

Calculator

Solution

The third proportional to 9,724 and 18,224 is: 34,154.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724 : 18,224 = 18,224 : x
  2. Step 2: Convert to fraction form
    9,724/18,224 = 18,224/x
  3. Step 3: Cross multiply
    9,724x = 18,224 × 18,224
  4. Step 4: Simplify right side
    9,724x = 332,114,176
  5. Step 5: Solve for x
    x = 332,114,176/9,724
  6. Step 6: Final answer
    x = 34,154.07

Related Problems

Find third proportional to 4,862 and 9,112
Half scale
Find third proportional to 19,448 and 36,448
Double scale
Find third proportional to 9,726 and 18,228
Similar ratio
Find third proportional to 14,586 and 27,336
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.