Home / 15,686-17,478

Finding the Third Proportional to 15,686 and 17,478

Calculator

Solution

The third proportional to 15,686 and 17,478 is: 19,474.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,686 : 17,478 = 17,478 : x
  2. Step 2: Convert to fraction form
    15,686/17,478 = 17,478/x
  3. Step 3: Cross multiply
    15,686x = 17,478 × 17,478
  4. Step 4: Simplify right side
    15,686x = 305,480,484
  5. Step 5: Solve for x
    x = 305,480,484/15,686
  6. Step 6: Final answer
    x = 19,474.72

Related Problems

Find third proportional to 7,843 and 8,739
Half scale
Find third proportional to 31,372 and 34,956
Double scale
Find third proportional to 15,688 and 17,480
Similar ratio
Find third proportional to 23,529 and 26,217
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.