Home / 10,710-15,971

Finding the Third Proportional to 10,710 and 15,971

Calculator

Solution

The third proportional to 10,710 and 15,971 is: 23,816.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,710 : 15,971 = 15,971 : x
  2. Step 2: Convert to fraction form
    10,710/15,971 = 15,971/x
  3. Step 3: Cross multiply
    10,710x = 15,971 × 15,971
  4. Step 4: Simplify right side
    10,710x = 255,072,841
  5. Step 5: Solve for x
    x = 255,072,841/10,710
  6. Step 6: Final answer
    x = 23,816.33

Related Problems

Find third proportional to 5,355 and 7,985.50
Half scale
Find third proportional to 21,420 and 31,942
Double scale
Find third proportional to 10,712 and 15,974
Similar ratio
Find third proportional to 16,065 and 23,956.50
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.