Home / 331,920-477,144

Finding the Third Proportional to 331,920 and 477,144

Calculator

Solution

The third proportional to 331,920 and 477,144 is: 685,907.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,920 : 477,144 = 477,144 : x
  2. Step 2: Convert to fraction form
    331,920/477,144 = 477,144/x
  3. Step 3: Cross multiply
    331,920x = 477,144 × 477,144
  4. Step 4: Simplify right side
    331,920x = 227,666,396,736
  5. Step 5: Solve for x
    x = 227,666,396,736/331,920
  6. Step 6: Final answer
    x = 685,907.44

Related Problems

Find third proportional to 165,960 and 238,572
Half scale
Find third proportional to 663,840 and 954,288
Double scale
Find third proportional to 331,922 and 477,147
Similar ratio
Find third proportional to 497,880 and 715,716
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.