Home / 13,521-19,215

Finding the Third Proportional to 13,521 and 19,215

Calculator

Solution

The third proportional to 13,521 and 19,215 is: 27,306.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,521 : 19,215 = 19,215 : x
  2. Step 2: Convert to fraction form
    13,521/19,215 = 19,215/x
  3. Step 3: Cross multiply
    13,521x = 19,215 × 19,215
  4. Step 4: Simplify right side
    13,521x = 369,216,225
  5. Step 5: Solve for x
    x = 369,216,225/13,521
  6. Step 6: Final answer
    x = 27,306.87

Related Problems

Find third proportional to 6,760.50 and 9,607.50
Half scale
Find third proportional to 27,042 and 38,430
Double scale
Find third proportional to 13,523 and 19,218
Similar ratio
Find third proportional to 20,281.50 and 28,822.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.