Home / 7,732-15,824

Finding the Third Proportional to 7,732 and 15,824

Calculator

Solution

The third proportional to 7,732 and 15,824 is: 32,384.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732 : 15,824 = 15,824 : x
  2. Step 2: Convert to fraction form
    7,732/15,824 = 15,824/x
  3. Step 3: Cross multiply
    7,732x = 15,824 × 15,824
  4. Step 4: Simplify right side
    7,732x = 250,398,976
  5. Step 5: Solve for x
    x = 250,398,976/7,732
  6. Step 6: Final answer
    x = 32,384.76

Related Problems

Find third proportional to 3,866 and 7,912
Half scale
Find third proportional to 15,464 and 31,648
Double scale
Find third proportional to 7,734 and 15,828
Similar ratio
Find third proportional to 11,598 and 23,736
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.