Home / 31,785-69,954

Finding the Third Proportional to 31,785 and 69,954

Calculator

Solution

The third proportional to 31,785 and 69,954 is: 153,958.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,785 : 69,954 = 69,954 : x
  2. Step 2: Convert to fraction form
    31,785/69,954 = 69,954/x
  3. Step 3: Cross multiply
    31,785x = 69,954 × 69,954
  4. Step 4: Simplify right side
    31,785x = 4,893,562,116
  5. Step 5: Solve for x
    x = 4,893,562,116/31,785
  6. Step 6: Final answer
    x = 153,958.22

Related Problems

Find third proportional to 15,892.50 and 34,977
Half scale
Find third proportional to 63,570 and 139,908
Double scale
Find third proportional to 31,787 and 69,958
Similar ratio
Find third proportional to 47,677.50 and 104,931
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.