Home / 6,456-9,106

Finding the Third Proportional to 6,456 and 9,106

Calculator

Solution

The third proportional to 6,456 and 9,106 is: 12,843.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456 : 9,106 = 9,106 : x
  2. Step 2: Convert to fraction form
    6,456/9,106 = 9,106/x
  3. Step 3: Cross multiply
    6,456x = 9,106 × 9,106
  4. Step 4: Simplify right side
    6,456x = 82,919,236
  5. Step 5: Solve for x
    x = 82,919,236/6,456
  6. Step 6: Final answer
    x = 12,843.75

Related Problems

Find third proportional to 3,228 and 4,553
Half scale
Find third proportional to 12,912 and 18,212
Double scale
Find third proportional to 6,458 and 9,109
Similar ratio
Find third proportional to 9,684 and 13,659
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.