Home / 635.50-824.50

Finding the Third Proportional to 635.50 and 824.50

Calculator

Solution

The third proportional to 635.50 and 824.50 is: 1,069.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.50 : 824.50 = 824.50 : x
  2. Step 2: Convert to fraction form
    635.50/824.50 = 824.50/x
  3. Step 3: Cross multiply
    635.50x = 824.50 × 824.50
  4. Step 4: Simplify right side
    635.50x = 679,800.25
  5. Step 5: Solve for x
    x = 679,800.25/635.50
  6. Step 6: Final answer
    x = 1,069.71

Related Problems

Find third proportional to 317.75 and 412.25
Half scale
Find third proportional to 1,271 and 1,649
Double scale
Find third proportional to 638 and 827
Similar ratio
Find third proportional to 953.25 and 1,236.75
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.