Home / 31,909-68,699

Finding the Third Proportional to 31,909 and 68,699

Calculator

Solution

The third proportional to 31,909 and 68,699 is: 147,906.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,909 : 68,699 = 68,699 : x
  2. Step 2: Convert to fraction form
    31,909/68,699 = 68,699/x
  3. Step 3: Cross multiply
    31,909x = 68,699 × 68,699
  4. Step 4: Simplify right side
    31,909x = 4,719,552,601
  5. Step 5: Solve for x
    x = 4,719,552,601/31,909
  6. Step 6: Final answer
    x = 147,906.63

Related Problems

Find third proportional to 15,954.50 and 34,349.50
Half scale
Find third proportional to 63,818 and 137,398
Double scale
Find third proportional to 31,911 and 68,703
Similar ratio
Find third proportional to 47,863.50 and 103,048.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.