Home / 106,522-232,110

Finding the Third Proportional to 106,522 and 232,110

Calculator

Solution

The third proportional to 106,522 and 232,110 is: 505,764.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,522 : 232,110 = 232,110 : x
  2. Step 2: Convert to fraction form
    106,522/232,110 = 232,110/x
  3. Step 3: Cross multiply
    106,522x = 232,110 × 232,110
  4. Step 4: Simplify right side
    106,522x = 53,875,052,100
  5. Step 5: Solve for x
    x = 53,875,052,100/106,522
  6. Step 6: Final answer
    x = 505,764.56

Related Problems

Find third proportional to 53,261 and 116,055
Half scale
Find third proportional to 213,044 and 464,220
Double scale
Find third proportional to 106,524 and 232,114
Similar ratio
Find third proportional to 159,783 and 348,165
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.