Home / 15,724-22,288

Finding the Third Proportional to 15,724 and 22,288

Calculator

Solution

The third proportional to 15,724 and 22,288 is: 31,592.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,724 : 22,288 = 22,288 : x
  2. Step 2: Convert to fraction form
    15,724/22,288 = 22,288/x
  3. Step 3: Cross multiply
    15,724x = 22,288 × 22,288
  4. Step 4: Simplify right side
    15,724x = 496,754,944
  5. Step 5: Solve for x
    x = 496,754,944/15,724
  6. Step 6: Final answer
    x = 31,592.15

Related Problems

Find third proportional to 7,862 and 11,144
Half scale
Find third proportional to 31,448 and 44,576
Double scale
Find third proportional to 15,726 and 22,291
Similar ratio
Find third proportional to 23,586 and 33,432
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.