Home / 5,408-7,832

Finding the Third Proportional to 5,408 and 7,832

Calculator

Solution

The third proportional to 5,408 and 7,832 is: 11,342.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408 : 7,832 = 7,832 : x
  2. Step 2: Convert to fraction form
    5,408/7,832 = 7,832/x
  3. Step 3: Cross multiply
    5,408x = 7,832 × 7,832
  4. Step 4: Simplify right side
    5,408x = 61,340,224
  5. Step 5: Solve for x
    x = 61,340,224/5,408
  6. Step 6: Final answer
    x = 11,342.50

Related Problems

Find third proportional to 2,704 and 3,916
Half scale
Find third proportional to 10,816 and 15,664
Double scale
Find third proportional to 5,410 and 7,835
Similar ratio
Find third proportional to 8,112 and 11,748
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.