Home / 428.50-857

Finding the Third Proportional to 428.50 and 857

Calculator

Solution

The third proportional to 428.50 and 857 is: 1,714

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.50 : 857 = 857 : x
  2. Step 2: Convert to fraction form
    428.50/857 = 857/x
  3. Step 3: Cross multiply
    428.50x = 857 × 857
  4. Step 4: Simplify right side
    428.50x = 734,449
  5. Step 5: Solve for x
    x = 734,449/428.50
  6. Step 6: Final answer
    x = 1,714

Related Problems

Find third proportional to 214.25 and 428.50
Half scale
Find third proportional to 857 and 1,714
Double scale
Find third proportional to 431 and 861
Similar ratio
Find third proportional to 642.75 and 1,285.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.