Home / 109,878-164,823

Finding the Third Proportional to 109,878 and 164,823

Calculator

Solution

The third proportional to 109,878 and 164,823 is: 247,243.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,878 : 164,823 = 164,823 : x
  2. Step 2: Convert to fraction form
    109,878/164,823 = 164,823/x
  3. Step 3: Cross multiply
    109,878x = 164,823 × 164,823
  4. Step 4: Simplify right side
    109,878x = 27,166,621,329
  5. Step 5: Solve for x
    x = 27,166,621,329/109,878
  6. Step 6: Final answer
    x = 247,243.50

Related Problems

Find third proportional to 54,939 and 82,411.50
Half scale
Find third proportional to 219,756 and 329,646
Double scale
Find third proportional to 109,880 and 164,826
Similar ratio
Find third proportional to 164,817 and 247,234.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.