Home / 29,966-65,218

Finding the Third Proportional to 29,966 and 65,218

Calculator

Solution

The third proportional to 29,966 and 65,218 is: 141,940.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,966 : 65,218 = 65,218 : x
  2. Step 2: Convert to fraction form
    29,966/65,218 = 65,218/x
  3. Step 3: Cross multiply
    29,966x = 65,218 × 65,218
  4. Step 4: Simplify right side
    29,966x = 4,253,387,524
  5. Step 5: Solve for x
    x = 4,253,387,524/29,966
  6. Step 6: Final answer
    x = 141,940.45

Related Problems

Find third proportional to 14,983 and 32,609
Half scale
Find third proportional to 59,932 and 130,436
Double scale
Find third proportional to 29,968 and 65,222
Similar ratio
Find third proportional to 44,949 and 97,827
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.