Home / 7,684-10,840

Finding the Third Proportional to 7,684 and 10,840

Calculator

Solution

The third proportional to 7,684 and 10,840 is: 15,292.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684 : 10,840 = 10,840 : x
  2. Step 2: Convert to fraction form
    7,684/10,840 = 10,840/x
  3. Step 3: Cross multiply
    7,684x = 10,840 × 10,840
  4. Step 4: Simplify right side
    7,684x = 117,505,600
  5. Step 5: Solve for x
    x = 117,505,600/7,684
  6. Step 6: Final answer
    x = 15,292.24

Related Problems

Find third proportional to 3,842 and 5,420
Half scale
Find third proportional to 15,368 and 21,680
Double scale
Find third proportional to 7,686 and 10,843
Similar ratio
Find third proportional to 11,526 and 16,260
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.