Home / 7,706-11,640

Finding the Third Proportional to 7,706 and 11,640

Calculator

Solution

The third proportional to 7,706 and 11,640 is: 17,582.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706 : 11,640 = 11,640 : x
  2. Step 2: Convert to fraction form
    7,706/11,640 = 11,640/x
  3. Step 3: Cross multiply
    7,706x = 11,640 × 11,640
  4. Step 4: Simplify right side
    7,706x = 135,489,600
  5. Step 5: Solve for x
    x = 135,489,600/7,706
  6. Step 6: Final answer
    x = 17,582.35

Related Problems

Find third proportional to 3,853 and 5,820
Half scale
Find third proportional to 15,412 and 23,280
Double scale
Find third proportional to 7,708 and 11,643
Similar ratio
Find third proportional to 11,559 and 17,460
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.