Home / 105,840-232,416

Finding the Third Proportional to 105,840 and 232,416

Calculator

Solution

The third proportional to 105,840 and 232,416 is: 510,366.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,840 : 232,416 = 232,416 : x
  2. Step 2: Convert to fraction form
    105,840/232,416 = 232,416/x
  3. Step 3: Cross multiply
    105,840x = 232,416 × 232,416
  4. Step 4: Simplify right side
    105,840x = 54,017,197,056
  5. Step 5: Solve for x
    x = 54,017,197,056/105,840
  6. Step 6: Final answer
    x = 510,366.56

Related Problems

Find third proportional to 52,920 and 116,208
Half scale
Find third proportional to 211,680 and 464,832
Double scale
Find third proportional to 105,842 and 232,420
Similar ratio
Find third proportional to 158,760 and 348,624
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.