Home / 463.22-706.22

Finding the Third Proportional to 463.22 and 706.22

Calculator

Solution

The third proportional to 463.22 and 706.22 is: 1,076.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.22 : 706.22 = 706.22 : x
  2. Step 2: Convert to fraction form
    463.22/706.22 = 706.22/x
  3. Step 3: Cross multiply
    463.22x = 706.22 × 706.22
  4. Step 4: Simplify right side
    463.22x = 498,744.92
  5. Step 5: Solve for x
    x = 498,744.92/463.22
  6. Step 6: Final answer
    x = 1,076.69

Related Problems

Find third proportional to 231.61 and 353.11
Half scale
Find third proportional to 926.44 and 1,412.44
Double scale
Find third proportional to 465 and 709
Similar ratio
Find third proportional to 694.83 and 1,059.33
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.