Home / 753-828

Finding the Third Proportional to 753 and 828

Calculator

Solution

The third proportional to 753 and 828 is: 910.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    753 : 828 = 828 : x
  2. Step 2: Convert to fraction form
    753/828 = 828/x
  3. Step 3: Cross multiply
    753x = 828 × 828
  4. Step 4: Simplify right side
    753x = 685,584
  5. Step 5: Solve for x
    x = 685,584/753
  6. Step 6: Final answer
    x = 910.47

Related Problems

Find third proportional to 376.50 and 414
Half scale
Find third proportional to 1,506 and 1,656
Double scale
Find third proportional to 755 and 830
Similar ratio
Find third proportional to 1,129.50 and 1,242
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.