Home / 103,682-138,947

Finding the Third Proportional to 103,682 and 138,947

Calculator

Solution

The third proportional to 103,682 and 138,947 is: 186,206.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,682 : 138,947 = 138,947 : x
  2. Step 2: Convert to fraction form
    103,682/138,947 = 138,947/x
  3. Step 3: Cross multiply
    103,682x = 138,947 × 138,947
  4. Step 4: Simplify right side
    103,682x = 19,306,268,809
  5. Step 5: Solve for x
    x = 19,306,268,809/103,682
  6. Step 6: Final answer
    x = 186,206.56

Related Problems

Find third proportional to 51,841 and 69,473.50
Half scale
Find third proportional to 207,364 and 277,894
Double scale
Find third proportional to 103,684 and 138,950
Similar ratio
Find third proportional to 155,523 and 208,420.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.