Home / 109,840-164,382

Finding the Third Proportional to 109,840 and 164,382

Calculator

Solution

The third proportional to 109,840 and 164,382 is: 246,007.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,840 : 164,382 = 164,382 : x
  2. Step 2: Convert to fraction form
    109,840/164,382 = 164,382/x
  3. Step 3: Cross multiply
    109,840x = 164,382 × 164,382
  4. Step 4: Simplify right side
    109,840x = 27,021,441,924
  5. Step 5: Solve for x
    x = 27,021,441,924/109,840
  6. Step 6: Final answer
    x = 246,007.30

Related Problems

Find third proportional to 54,920 and 82,191
Half scale
Find third proportional to 219,680 and 328,764
Double scale
Find third proportional to 109,842 and 164,385
Similar ratio
Find third proportional to 164,760 and 246,573
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.