Home / 105,349-232,171

Finding the Third Proportional to 105,349 and 232,171

Calculator

Solution

The third proportional to 105,349 and 232,171 is: 511,664.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,349 : 232,171 = 232,171 : x
  2. Step 2: Convert to fraction form
    105,349/232,171 = 232,171/x
  3. Step 3: Cross multiply
    105,349x = 232,171 × 232,171
  4. Step 4: Simplify right side
    105,349x = 53,903,373,241
  5. Step 5: Solve for x
    x = 53,903,373,241/105,349
  6. Step 6: Final answer
    x = 511,664.78

Related Problems

Find third proportional to 52,674.50 and 116,085.50
Half scale
Find third proportional to 210,698 and 464,342
Double scale
Find third proportional to 105,351 and 232,175
Similar ratio
Find third proportional to 158,023.50 and 348,256.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.