Home / 9,971-23,505

Finding the Third Proportional to 9,971 and 23,505

Calculator

Solution

The third proportional to 9,971 and 23,505 is: 55,409.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971 : 23,505 = 23,505 : x
  2. Step 2: Convert to fraction form
    9,971/23,505 = 23,505/x
  3. Step 3: Cross multiply
    9,971x = 23,505 × 23,505
  4. Step 4: Simplify right side
    9,971x = 552,485,025
  5. Step 5: Solve for x
    x = 552,485,025/9,971
  6. Step 6: Final answer
    x = 55,409.19

Related Problems

Find third proportional to 4,985.50 and 11,752.50
Half scale
Find third proportional to 19,942 and 47,010
Double scale
Find third proportional to 9,973 and 23,510
Similar ratio
Find third proportional to 14,956.50 and 35,257.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.