Home / 23,071-32,991

Finding the Third Proportional to 23,071 and 32,991

Calculator

Solution

The third proportional to 23,071 and 32,991 is: 47,176.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,071 : 32,991 = 32,991 : x
  2. Step 2: Convert to fraction form
    23,071/32,991 = 32,991/x
  3. Step 3: Cross multiply
    23,071x = 32,991 × 32,991
  4. Step 4: Simplify right side
    23,071x = 1,088,406,081
  5. Step 5: Solve for x
    x = 1,088,406,081/23,071
  6. Step 6: Final answer
    x = 47,176.37

Related Problems

Find third proportional to 11,535.50 and 16,495.50
Half scale
Find third proportional to 46,142 and 65,982
Double scale
Find third proportional to 23,073 and 32,994
Similar ratio
Find third proportional to 34,606.50 and 49,486.50
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.