Home / 47,414-109,487

Finding the Third Proportional to 47,414 and 109,487

Calculator

Solution

The third proportional to 47,414 and 109,487 is: 252,824.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,414 : 109,487 = 109,487 : x
  2. Step 2: Convert to fraction form
    47,414/109,487 = 109,487/x
  3. Step 3: Cross multiply
    47,414x = 109,487 × 109,487
  4. Step 4: Simplify right side
    47,414x = 11,987,403,169
  5. Step 5: Solve for x
    x = 11,987,403,169/47,414
  6. Step 6: Final answer
    x = 252,824.13

Related Problems

Find third proportional to 23,707 and 54,743.50
Half scale
Find third proportional to 94,828 and 218,974
Double scale
Find third proportional to 47,416 and 109,492
Similar ratio
Find third proportional to 71,121 and 164,230.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.