Home / 563.81-828.19

Finding the Third Proportional to 563.81 and 828.19

Calculator

Solution

The third proportional to 563.81 and 828.19 is: 1,216.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.81 : 828.19 = 828.19 : x
  2. Step 2: Convert to fraction form
    563.81/828.19 = 828.19/x
  3. Step 3: Cross multiply
    563.81x = 828.19 × 828.19
  4. Step 4: Simplify right side
    563.81x = 685,894.54
  5. Step 5: Solve for x
    x = 685,894.54/563.81
  6. Step 6: Final answer
    x = 1,216.53

Related Problems

Find third proportional to 281.91 and 414.09
Half scale
Find third proportional to 1,127.63 and 1,656.38
Double scale
Find third proportional to 566 and 831
Similar ratio
Find third proportional to 845.72 and 1,242.28
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.