Home / 5,782-7,848

Finding the Third Proportional to 5,782 and 7,848

Calculator

Solution

The third proportional to 5,782 and 7,848 is: 10,652.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782 : 7,848 = 7,848 : x
  2. Step 2: Convert to fraction form
    5,782/7,848 = 7,848/x
  3. Step 3: Cross multiply
    5,782x = 7,848 × 7,848
  4. Step 4: Simplify right side
    5,782x = 61,591,104
  5. Step 5: Solve for x
    x = 61,591,104/5,782
  6. Step 6: Final answer
    x = 10,652.21

Related Problems

Find third proportional to 2,891 and 3,924
Half scale
Find third proportional to 11,564 and 15,696
Double scale
Find third proportional to 5,784 and 7,851
Similar ratio
Find third proportional to 8,673 and 11,772
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.