Home / 106,566-159,120

Finding the Third Proportional to 106,566 and 159,120

Calculator

Solution

The third proportional to 106,566 and 159,120 is: 237,591.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,566 : 159,120 = 159,120 : x
  2. Step 2: Convert to fraction form
    106,566/159,120 = 159,120/x
  3. Step 3: Cross multiply
    106,566x = 159,120 × 159,120
  4. Step 4: Simplify right side
    106,566x = 25,319,174,400
  5. Step 5: Solve for x
    x = 25,319,174,400/106,566
  6. Step 6: Final answer
    x = 237,591.49

Related Problems

Find third proportional to 53,283 and 79,560
Half scale
Find third proportional to 213,132 and 318,240
Double scale
Find third proportional to 106,568 and 159,123
Similar ratio
Find third proportional to 159,849 and 238,680
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.