Home / 8,370-9,810

Finding the Third Proportional to 8,370 and 9,810

Calculator

Solution

The third proportional to 8,370 and 9,810 is: 11,497.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,370 : 9,810 = 9,810 : x
  2. Step 2: Convert to fraction form
    8,370/9,810 = 9,810/x
  3. Step 3: Cross multiply
    8,370x = 9,810 × 9,810
  4. Step 4: Simplify right side
    8,370x = 96,236,100
  5. Step 5: Solve for x
    x = 96,236,100/8,370
  6. Step 6: Final answer
    x = 11,497.74

Related Problems

Find third proportional to 4,185 and 4,905
Half scale
Find third proportional to 16,740 and 19,620
Double scale
Find third proportional to 8,372 and 9,812
Similar ratio
Find third proportional to 12,555 and 14,715
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.