Home / 23,961-34,311

Finding the Third Proportional to 23,961 and 34,311

Calculator

Solution

The third proportional to 23,961 and 34,311 is: 49,131.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,961 : 34,311 = 34,311 : x
  2. Step 2: Convert to fraction form
    23,961/34,311 = 34,311/x
  3. Step 3: Cross multiply
    23,961x = 34,311 × 34,311
  4. Step 4: Simplify right side
    23,961x = 1,177,244,721
  5. Step 5: Solve for x
    x = 1,177,244,721/23,961
  6. Step 6: Final answer
    x = 49,131.70

Related Problems

Find third proportional to 11,980.50 and 17,155.50
Half scale
Find third proportional to 47,922 and 68,622
Double scale
Find third proportional to 23,963 and 34,314
Similar ratio
Find third proportional to 35,941.50 and 51,466.50
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.