Home / 7,810-11,947

Finding the Third Proportional to 7,810 and 11,947

Calculator

Solution

The third proportional to 7,810 and 11,947 is: 18,275.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810 : 11,947 = 11,947 : x
  2. Step 2: Convert to fraction form
    7,810/11,947 = 11,947/x
  3. Step 3: Cross multiply
    7,810x = 11,947 × 11,947
  4. Step 4: Simplify right side
    7,810x = 142,730,809
  5. Step 5: Solve for x
    x = 142,730,809/7,810
  6. Step 6: Final answer
    x = 18,275.39

Related Problems

Find third proportional to 3,905 and 5,973.50
Half scale
Find third proportional to 15,620 and 23,894
Double scale
Find third proportional to 7,812 and 11,950
Similar ratio
Find third proportional to 11,715 and 17,920.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.