Home / 11,656-16,664

Finding the Third Proportional to 11,656 and 16,664

Calculator

Solution

The third proportional to 11,656 and 16,664 is: 23,823.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656 : 16,664 = 16,664 : x
  2. Step 2: Convert to fraction form
    11,656/16,664 = 16,664/x
  3. Step 3: Cross multiply
    11,656x = 16,664 × 16,664
  4. Step 4: Simplify right side
    11,656x = 277,688,896
  5. Step 5: Solve for x
    x = 277,688,896/11,656
  6. Step 6: Final answer
    x = 23,823.69

Related Problems

Find third proportional to 5,828 and 8,332
Half scale
Find third proportional to 23,312 and 33,328
Double scale
Find third proportional to 11,658 and 16,667
Similar ratio
Find third proportional to 17,484 and 24,996
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.