Home / 457,104-685,224

Finding the Third Proportional to 457,104 and 685,224

Calculator

Solution

The third proportional to 457,104 and 685,224 is: 1,027,188.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,104 : 685,224 = 685,224 : x
  2. Step 2: Convert to fraction form
    457,104/685,224 = 685,224/x
  3. Step 3: Cross multiply
    457,104x = 685,224 × 685,224
  4. Step 4: Simplify right side
    457,104x = 469,531,930,176
  5. Step 5: Solve for x
    x = 469,531,930,176/457,104
  6. Step 6: Final answer
    x = 1,027,188.41

Related Problems

Find third proportional to 228,552 and 342,612
Half scale
Find third proportional to 914,208 and 1,370,448
Double scale
Find third proportional to 457,106 and 685,227
Similar ratio
Find third proportional to 685,656 and 1,027,836
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.