Home / 8,370-9,106

Finding the Third Proportional to 8,370 and 9,106

Calculator

Solution

The third proportional to 8,370 and 9,106 is: 9,906.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,370 : 9,106 = 9,106 : x
  2. Step 2: Convert to fraction form
    8,370/9,106 = 9,106/x
  3. Step 3: Cross multiply
    8,370x = 9,106 × 9,106
  4. Step 4: Simplify right side
    8,370x = 82,919,236
  5. Step 5: Solve for x
    x = 82,919,236/8,370
  6. Step 6: Final answer
    x = 9,906.72

Related Problems

Find third proportional to 4,185 and 4,553
Half scale
Find third proportional to 16,740 and 18,212
Double scale
Find third proportional to 8,372 and 9,108
Similar ratio
Find third proportional to 12,555 and 13,659
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.