Home / 549.50-824.25

Finding the Third Proportional to 549.50 and 824.25

Calculator

Solution

The third proportional to 549.50 and 824.25 is: 1,236.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.50 : 824.25 = 824.25 : x
  2. Step 2: Convert to fraction form
    549.50/824.25 = 824.25/x
  3. Step 3: Cross multiply
    549.50x = 824.25 × 824.25
  4. Step 4: Simplify right side
    549.50x = 679,388.06
  5. Step 5: Solve for x
    x = 679,388.06/549.50
  6. Step 6: Final answer
    x = 1,236.38

Related Problems

Find third proportional to 274.75 and 412.13
Half scale
Find third proportional to 1,099 and 1,648.50
Double scale
Find third proportional to 552 and 827
Similar ratio
Find third proportional to 824.25 and 1,236.38
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.