Home / 106,960-166,290

Finding the Third Proportional to 106,960 and 166,290

Calculator

Solution

The third proportional to 106,960 and 166,290 is: 258,529.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,960 : 166,290 = 166,290 : x
  2. Step 2: Convert to fraction form
    106,960/166,290 = 166,290/x
  3. Step 3: Cross multiply
    106,960x = 166,290 × 166,290
  4. Step 4: Simplify right side
    106,960x = 27,652,364,100
  5. Step 5: Solve for x
    x = 27,652,364,100/106,960
  6. Step 6: Final answer
    x = 258,529.96

Related Problems

Find third proportional to 53,480 and 83,145
Half scale
Find third proportional to 213,920 and 332,580
Double scale
Find third proportional to 106,962 and 166,293
Similar ratio
Find third proportional to 160,440 and 249,435
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.