Home / 16,584-19,464

Finding the Third Proportional to 16,584 and 19,464

Calculator

Solution

The third proportional to 16,584 and 19,464 is: 22,844.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,584 : 19,464 = 19,464 : x
  2. Step 2: Convert to fraction form
    16,584/19,464 = 19,464/x
  3. Step 3: Cross multiply
    16,584x = 19,464 × 19,464
  4. Step 4: Simplify right side
    16,584x = 378,847,296
  5. Step 5: Solve for x
    x = 378,847,296/16,584
  6. Step 6: Final answer
    x = 22,844.14

Related Problems

Find third proportional to 8,292 and 9,732
Half scale
Find third proportional to 33,168 and 38,928
Double scale
Find third proportional to 16,586 and 19,466
Similar ratio
Find third proportional to 24,876 and 29,196
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.