Home / 8,562-9,846

Finding the Third Proportional to 8,562 and 9,846

Calculator

Solution

The third proportional to 8,562 and 9,846 is: 11,322.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,562 : 9,846 = 9,846 : x
  2. Step 2: Convert to fraction form
    8,562/9,846 = 9,846/x
  3. Step 3: Cross multiply
    8,562x = 9,846 × 9,846
  4. Step 4: Simplify right side
    8,562x = 96,943,716
  5. Step 5: Solve for x
    x = 96,943,716/8,562
  6. Step 6: Final answer
    x = 11,322.56

Related Problems

Find third proportional to 4,281 and 4,923
Half scale
Find third proportional to 17,124 and 19,692
Double scale
Find third proportional to 8,564 and 9,848
Similar ratio
Find third proportional to 12,843 and 14,769
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.