Home / 106,536-233,112

Finding the Third Proportional to 106,536 and 233,112

Calculator

Solution

The third proportional to 106,536 and 233,112 is: 510,073.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,536 : 233,112 = 233,112 : x
  2. Step 2: Convert to fraction form
    106,536/233,112 = 233,112/x
  3. Step 3: Cross multiply
    106,536x = 233,112 × 233,112
  4. Step 4: Simplify right side
    106,536x = 54,341,204,544
  5. Step 5: Solve for x
    x = 54,341,204,544/106,536
  6. Step 6: Final answer
    x = 510,073.63

Related Problems

Find third proportional to 53,268 and 116,556
Half scale
Find third proportional to 213,072 and 466,224
Double scale
Find third proportional to 106,538 and 233,116
Similar ratio
Find third proportional to 159,804 and 349,668
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.