Home / 11,738-16,509

Finding the Third Proportional to 11,738 and 16,509

Calculator

Solution

The third proportional to 11,738 and 16,509 is: 23,219.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,738 : 16,509 = 16,509 : x
  2. Step 2: Convert to fraction form
    11,738/16,509 = 16,509/x
  3. Step 3: Cross multiply
    11,738x = 16,509 × 16,509
  4. Step 4: Simplify right side
    11,738x = 272,547,081
  5. Step 5: Solve for x
    x = 272,547,081/11,738
  6. Step 6: Final answer
    x = 23,219.21

Related Problems

Find third proportional to 5,869 and 8,254.50
Half scale
Find third proportional to 23,476 and 33,018
Double scale
Find third proportional to 11,740 and 16,512
Similar ratio
Find third proportional to 17,607 and 24,763.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.