Home / 632.44-822.09

Finding the Third Proportional to 632.44 and 822.09

Calculator

Solution

The third proportional to 632.44 and 822.09 is: 1,068.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.44 : 822.09 = 822.09 : x
  2. Step 2: Convert to fraction form
    632.44/822.09 = 822.09/x
  3. Step 3: Cross multiply
    632.44x = 822.09 × 822.09
  4. Step 4: Simplify right side
    632.44x = 675,838.13
  5. Step 5: Solve for x
    x = 675,838.13/632.44
  6. Step 6: Final answer
    x = 1,068.62

Related Problems

Find third proportional to 316.22 and 411.05
Half scale
Find third proportional to 1,264.88 and 1,644.19
Double scale
Find third proportional to 634 and 825
Similar ratio
Find third proportional to 948.66 and 1,233.14
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.