Home / 11,646-17,523

Finding the Third Proportional to 11,646 and 17,523

Calculator

Solution

The third proportional to 11,646 and 17,523 is: 26,365.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646 : 17,523 = 17,523 : x
  2. Step 2: Convert to fraction form
    11,646/17,523 = 17,523/x
  3. Step 3: Cross multiply
    11,646x = 17,523 × 17,523
  4. Step 4: Simplify right side
    11,646x = 307,055,529
  5. Step 5: Solve for x
    x = 307,055,529/11,646
  6. Step 6: Final answer
    x = 26,365.75

Related Problems

Find third proportional to 5,823 and 8,761.50
Half scale
Find third proportional to 23,292 and 35,046
Double scale
Find third proportional to 11,648 and 17,526
Similar ratio
Find third proportional to 17,469 and 26,284.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.