Home / 106,508-233,386

Finding the Third Proportional to 106,508 and 233,386

Calculator

Solution

The third proportional to 106,508 and 233,386 is: 511,407.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,508 : 233,386 = 233,386 : x
  2. Step 2: Convert to fraction form
    106,508/233,386 = 233,386/x
  3. Step 3: Cross multiply
    106,508x = 233,386 × 233,386
  4. Step 4: Simplify right side
    106,508x = 54,469,024,996
  5. Step 5: Solve for x
    x = 54,469,024,996/106,508
  6. Step 6: Final answer
    x = 511,407.83

Related Problems

Find third proportional to 53,254 and 116,693
Half scale
Find third proportional to 213,016 and 466,772
Double scale
Find third proportional to 106,510 and 233,390
Similar ratio
Find third proportional to 159,762 and 350,079
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.