Home / 5,346-7,857

Finding the Third Proportional to 5,346 and 7,857

Calculator

Solution

The third proportional to 5,346 and 7,857 is: 11,547.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346 : 7,857 = 7,857 : x
  2. Step 2: Convert to fraction form
    5,346/7,857 = 7,857/x
  3. Step 3: Cross multiply
    5,346x = 7,857 × 7,857
  4. Step 4: Simplify right side
    5,346x = 61,732,449
  5. Step 5: Solve for x
    x = 61,732,449/5,346
  6. Step 6: Final answer
    x = 11,547.41

Related Problems

Find third proportional to 2,673 and 3,928.50
Half scale
Find third proportional to 10,692 and 15,714
Double scale
Find third proportional to 5,348 and 7,860
Similar ratio
Find third proportional to 8,019 and 11,785.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.