Home / 51,643-109,486

Finding the Third Proportional to 51,643 and 109,486

Calculator

Solution

The third proportional to 51,643 and 109,486 is: 232,116.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,643 : 109,486 = 109,486 : x
  2. Step 2: Convert to fraction form
    51,643/109,486 = 109,486/x
  3. Step 3: Cross multiply
    51,643x = 109,486 × 109,486
  4. Step 4: Simplify right side
    51,643x = 11,987,184,196
  5. Step 5: Solve for x
    x = 11,987,184,196/51,643
  6. Step 6: Final answer
    x = 232,116.34

Related Problems

Find third proportional to 25,821.50 and 54,743
Half scale
Find third proportional to 103,286 and 218,972
Double scale
Find third proportional to 51,645 and 109,490
Similar ratio
Find third proportional to 77,464.50 and 164,229
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.