Home / 54,859-82,964

Finding the Third Proportional to 54,859 and 82,964

Calculator

Solution

The third proportional to 54,859 and 82,964 is: 125,467.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,859 : 82,964 = 82,964 : x
  2. Step 2: Convert to fraction form
    54,859/82,964 = 82,964/x
  3. Step 3: Cross multiply
    54,859x = 82,964 × 82,964
  4. Step 4: Simplify right side
    54,859x = 6,883,025,296
  5. Step 5: Solve for x
    x = 6,883,025,296/54,859
  6. Step 6: Final answer
    x = 125,467.57

Related Problems

Find third proportional to 27,429.50 and 41,482
Half scale
Find third proportional to 109,718 and 165,928
Double scale
Find third proportional to 54,861 and 82,967
Similar ratio
Find third proportional to 82,288.50 and 124,446
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.