Home / 106,830-166,077

Finding the Third Proportional to 106,830 and 166,077

Calculator

Solution

The third proportional to 106,830 and 166,077 is: 258,181.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,830 : 166,077 = 166,077 : x
  2. Step 2: Convert to fraction form
    106,830/166,077 = 166,077/x
  3. Step 3: Cross multiply
    106,830x = 166,077 × 166,077
  4. Step 4: Simplify right side
    106,830x = 27,581,569,929
  5. Step 5: Solve for x
    x = 27,581,569,929/106,830
  6. Step 6: Final answer
    x = 258,181.88

Related Problems

Find third proportional to 53,415 and 83,038.50
Half scale
Find third proportional to 213,660 and 332,154
Double scale
Find third proportional to 106,832 and 166,080
Similar ratio
Find third proportional to 160,245 and 249,115.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.