Home / 10,684-15,938

Finding the Third Proportional to 10,684 and 15,938

Calculator

Solution

The third proportional to 10,684 and 15,938 is: 23,775.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684 : 15,938 = 15,938 : x
  2. Step 2: Convert to fraction form
    10,684/15,938 = 15,938/x
  3. Step 3: Cross multiply
    10,684x = 15,938 × 15,938
  4. Step 4: Simplify right side
    10,684x = 254,019,844
  5. Step 5: Solve for x
    x = 254,019,844/10,684
  6. Step 6: Final answer
    x = 23,775.72

Related Problems

Find third proportional to 5,342 and 7,969
Half scale
Find third proportional to 21,368 and 31,876
Double scale
Find third proportional to 10,686 and 15,941
Similar ratio
Find third proportional to 16,026 and 23,907
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.